2204931456 has 768 divisors, whose sum is σ = 8732505600. Its totient is φ = 537477120.

The previous prime is 2204931431. The next prime is 2204931503. The reversal of 2204931456 is 6541394022.

It is a happy number.

2204931456 is a `hidden beast` number, since 2 + 20 + 493 + 145 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2204931456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53778796 + ... + 53778836.

It is an arithmetic number, because the mean of its divisors is an integer number (11370450).

Almost surely, 2^2204931456 is an apocalyptic number.

2204931456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366252800).

2204931456 is an abundant number, since it is smaller than the sum of its proper divisors (6527574144).

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

2204931456 is a wasteful number, since it uses less digits than its factorization.

2204931456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2204931456 is about 46956.6976692356. The cubic root of 2204931456 is about 1301.5625109600.

The spelling of 2204931456 in words is "two billion, two hundred four million, nine hundred thirty-one thousand, four hundred fifty-six".