2642892900 has 108 divisors (see below), whose sum is σ = 7719641328. Its totient is φ = 698104960.

The previous prime is 2642892899. The next prime is 2642892911. The reversal of 2642892900 is 92982462.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11642587 + ... + 11642813.

Almost surely, 2^2642892900 is an apocalyptic number.

2642892900 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 2642892900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859820664).

2642892900 is an abundant number, since it is smaller than the sum of its proper divisors (5076748428).

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

2642892900 is a wasteful number, since it uses less digits than its factorization.

2642892900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2642892900 is about 51409.0741017576. The cubic root of 2642892900 is about 1382.5892890762.

The spelling of 2642892900 in words is "two billion, six hundred forty-two million, eight hundred ninety-two thousand, nine hundred".