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2512260000 = 25325417821
BaseRepresentation
bin1001010110111110…
…0000101110100000
320111002021000211200
42111233200232200
520121114310000
61053142241200
7116153600115
oct22557405640
96432230750
102512260000
11107a118138
125a1426200
133106328a3
1419b92290c
15ea84d500
hex95be0ba0

2512260000 has 360 divisors, whose sum is σ = 9464098644. Its totient is φ = 629760000.

The previous prime is 2512259989. The next prime is 2512260001. The reversal of 2512260000 is 622152.

It can be written as a sum of positive squares in 10 ways, for example, as 158457744 + 2353802256 = 12588^2 + 48516^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×25122600002 = 12622900615200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2512260001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059590 + ... + 3060410.

Almost surely, 22512260000 is an apocalyptic number.

2512260000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732049322).

2512260000 is an abundant number, since it is smaller than the sum of its proper divisors (6951838644).

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

2512260000 is a wasteful number, since it uses less digits than its factorization.

2512260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2512260000 is about 50122.4500598285. The cubic root of 2512260000 is about 1359.4237754992.

Adding to 2512260000 its reverse (622152), we get a palindrome (2512882152).

The spelling of 2512260000 in words is "two billion, five hundred twelve million, two hundred sixty thousand".