2564063643200 has 84 divisors (see below), whose sum is σ = 6443437569792. Its totient is φ = 1003803609600.

The previous prime is 2564063643181. The next prime is 2564063643209. The reversal of 2564063643200 is 23463604652.

It is not an unprimeable number, because it can be changed into a prime (2564063643209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16973096 + ... + 17123495.

Almost surely, 2^{2564063643200} is an apocalyptic number.

2564063643200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564063643200 is an abundant number, since it is smaller than the sum of its proper divisors (3879373926592).

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

2564063643200 is a wasteful number, since it uses less digits than its factorization.

2564063643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34096660 (or 34096645 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 2564063643200 in words is "two trillion, five hundred sixty-four billion, sixty-three million, six hundred forty-three thousand, two hundred".