2563400164100 has 18 divisors (see below), whose sum is σ = 5562578356314. Its totient is φ = 1025360065600.

The previous prime is 2563400164079. The next prime is 2563400164139. The reversal of 2563400164100 is 14610043652.

It can be written as a sum of positive squares in 3 ways, for example, as 7449761344 + 2555950402756 = 86312^2 + 1598734^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12817000721 + ... + 12817000920.

Almost surely, 2^{2563400164100} is an apocalyptic number.

2563400164100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563400164100 is an abundant number, since it is smaller than the sum of its proper divisors (2999178192214).

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

2563400164100 is a wasteful number, since it uses less digits than its factorization.

2563400164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25634001655 (or 25634001648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 2563400164100 in words is "two trillion, five hundred sixty-three billion, four hundred million, one hundred sixty-four thousand, one hundred".