2204865936 has 405 divisors, whose sum is σ = 7957590849. Its totient is φ = 567979776.

The previous prime is 2204865919. The next prime is 2204865953. The reversal of 2204865936 is 6395684022.

The square root of 2204865936 is 46956.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2204865919) and next prime (2204865953).

It can be written as a sum of positive squares in only one way, i.e., 326163600 + 1878702336 = 18060^2 + 43344^2 .

It is a super-2 number, since 2×2204865936² = 9722867591466312192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2204865891 and 2204865900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51275931 + ... + 51275973.

Almost surely, 2^2204865936 is an apocalyptic number.

2204865936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2204865936 is the 46956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204865936

2204865936 is an abundant number, since it is smaller than the sum of its proper divisors (5752724913).

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

2204865936 is a wasteful number, since it uses less digits than its factorization.

2204865936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The cubic root of 2204865936 is about 1301.5496187648.

The spelling of 2204865936 in words is "two billion, two hundred four million, eight hundred sixty-five thousand, nine hundred thirty-six".