2642652500 has 60 divisors (see below), whose sum is σ = 5809955844. Its totient is φ = 1051392000.

The previous prime is 2642652479. The next prime is 2642652569. The reversal of 2642652500 is 52562462.

2642652500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1426875076 + 1215777424 = 37774^2 + 34868^2 .

It is a super-2 number, since 2×2642652500² = 13967224471512500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479762 + ... + 485238.

Almost surely, 2^2642652500 is an apocalyptic number.

2642652500 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 2642652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904977922).

2642652500 is an abundant number, since it is smaller than the sum of its proper divisors (3167303344).

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

2642652500 is a wasteful number, since it uses less digits than its factorization.

2642652500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2642652500 is about 51406.7359399525. The cubic root of 2642652500 is about 1382.5473672686.

The spelling of 2642652500 in words is "two billion, six hundred forty-two million, six hundred fifty-two thousand, five hundred".