2200226420400 has 120 divisors (see below), whose sum is σ = 7060714384464. Its totient is φ = 585673497600.

The previous prime is 2200226420387. The next prime is 2200226420419. The reversal of 2200226420400 is 40246220022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977491 + ... + 2314290.

Almost surely, 2^{2200226420400} is an apocalyptic number.

2200226420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200226420400 is an abundant number, since it is smaller than the sum of its proper divisors (4860487964064).

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

2200226420400 is a wasteful number, since it uses less digits than its factorization.

2200226420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292359 (or 3292348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 2200226420400 in words is "two trillion, two hundred billion, two hundred twenty-six million, four hundred twenty thousand, four hundred".