2642598813200 has 60 divisors (see below), whose sum is σ = 6375408078720. Its totient is φ = 1052616727680.

The previous prime is 2642598813199. The next prime is 2642598813269. The reversal of 2642598813200 is 23188952462.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13725524 + ... + 13916723.

It is an arithmetic number, because the mean of its divisors is an integer number (106256801312).

Almost surely, 2^{2642598813200} is an apocalyptic number.

2642598813200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642598813200 is an abundant number, since it is smaller than the sum of its proper divisors (3732809265520).

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

2642598813200 is a wasteful number, since it uses less digits than its factorization.

2642598813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27642504 (or 27642493 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 2642598813200 in words is "two trillion, six hundred forty-two billion, five hundred ninety-eight million, eight hundred thirteen thousand, two hundred".