2200654440400 has 120 divisors (see below), whose sum is σ = 6028698060504. Its totient is φ = 764752281600.

The previous prime is 2200654440367. The next prime is 2200654440463. The reversal of 2200654440400 is 40444560022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 189862375824 + 2010792064576 = 435732^2 + 1418024^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12358741 + ... + 12535540.

Almost surely, 2^{2200654440400} is an apocalyptic number.

2200654440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200654440400 is an abundant number, since it is smaller than the sum of its proper divisors (3828043620104).

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

2200654440400 is a wasteful number, since it uses less digits than its factorization.

2200654440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24894329 (or 24894318 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The spelling of 2200654440400 in words is "two trillion, two hundred billion, six hundred fifty-four million, four hundred forty thousand, four hundred".