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2500000000 = 28510
BaseRepresentation
bin1001010100000010…
…1111100100000000
320110020012011021121
42111000233210000
520110000000000
61052023402024
7115644435511
oct22500574400
96406164247
102500000000
111073204003
125992b3314
1330ac2c454
1419a050a08
15e972ab1a
hex9502f900

2500000000 has 99 divisors (see below), whose sum is σ = 6237792841. Its totient is φ = 1000000000.

The previous prime is 2499999977. The next prime is 2500000001. The reversal of 2500000000 is 52.

The square root of 2500000000 is 50000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 14379264 + 2485620736 = 3792^2 + 49856^2 .

It is a sliding number, since 2500000000 = 500000000 + 2000000000 and 1/500000000 + 1/2000000000 = 0.000000002500000000.

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is not an unprimeable number, because it can be changed into a prime (2500000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 499999998 + ... + 500000002.

Almost surely, 22500000000 is an apocalyptic number.

2500000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2500000000 is the 50000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500000000

2500000000 is an abundant number, since it is smaller than the sum of its proper divisors (3737792841).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2500000000 is an frugal number, since it uses more digits than its factorization.

2500000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The cubic root of 2500000000 is about 1357.2088082975.

Adding to 2500000000 its reverse (52), we get a palindrome (2500000052).

It can be divided in two parts, 2 and 500000000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 2500000000 in words is "two billion, five hundred million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 125000 156250 160000 200000 250000 312500 390625 400000 500000 625000 781250 800000 1000000 1250000 1562500 1953125 2000000 2500000 3125000 3906250 4000000 5000000 6250000 7812500 9765625 10000000 12500000 15625000 19531250 20000000 25000000 31250000 39062500 50000000 62500000 78125000 100000000 125000000 156250000 250000000 312500000 500000000 625000000 1250000000 2500000000