2264402420400 has 60 divisors (see below), whose sum is σ = 7253635757192. Its totient is φ = 603840645120.

The previous prime is 2264402420363. The next prime is 2264402420411. The reversal of 2264402420400 is 40242044622.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 943499809 + ... + 943502208.

Almost surely, 2^{2264402420400} is an apocalyptic number.

2264402420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264402420400 is an abundant number, since it is smaller than the sum of its proper divisors (4989233336792).

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

2264402420400 is a wasteful number, since it uses less digits than its factorization.

2264402420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887002038 (or 1887002027 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 2264402420400 in words is "two trillion, two hundred sixty-four billion, four hundred two million, four hundred twenty thousand, four hundred".