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2500120000 = 265478929
BaseRepresentation
bin1001010100000100…
…1100110111000000
320110020102020220001
42111001030313000
520110012320000
61052030125344
7115645445410
oct22501146700
96406366801
102500120000
111073286184
12599350854
1330ac71c61
1419a082640
15e975146a
hex9504cdc0

2500120000 has 140 divisors (see below), whose sum is σ = 7085919280. Its totient is φ = 857088000.

The previous prime is 2500119907. The next prime is 2500120003. The reversal of 2500120000 is 210052.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 275536 + ... + 284464.

Almost surely, 22500120000 is an apocalyptic number.

2500120000 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 2500120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542959640).

2500120000 is an abundant number, since it is smaller than the sum of its proper divisors (4585799280).

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

2500120000 is an frugal number, since it uses more digits than its factorization.

2500120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2500120000 is about 50001.1999856003. The cubic root of 2500120000 is about 1357.2305232909.

Adding to 2500120000 its reverse (210052), we get a palindrome (2500330052).

It can be divided in two parts, 2500 and 120000, that added together give a square (122500 = 3502).

The spelling of 2500120000 in words is "two billion, five hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 8929 10000 11200 14000 17500 17858 20000 28000 35000 35716 40000 44645 56000 62503 70000 71432 89290 125006 140000 142864 178580 223225 250012 280000 285728 312515 357160 446450 500024 571456 625030 714320 892900 1000048 1116125 1250060 1428640 1562575 1785800 2000096 2232250 2500120 2857280 3125150 3571600 4000192 4464500 5000240 5580625 6250300 7143200 7812875 8929000 10000480 11161250 12500600 14286400 15625750 17858000 20000960 22322500 25001200 31251500 35716000 39064375 44645000 50002400 62503000 71432000 78128750 89290000 100004800 125006000 156257500 178580000 250012000 312515000 357160000 500024000 625030000 1250060000 2500120000