2204294400 has 972 divisors, whose sum is σ = 10141788384. Its totient is φ = 451584000.

The previous prime is 2204294381. The next prime is 2204294413. The reversal of 2204294400 is 44924022.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31046365 + ... + 31046435.

Almost surely, 2^2204294400 is an apocalyptic number.

2204294400 is a gapful number since it is divisible by the number (20) 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 2204294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070894192).

2204294400 is an abundant number, since it is smaller than the sum of its proper divisors (7937493984).

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

2204294400 is a wasteful number, since it uses less digits than its factorization.

2204294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2204294400 is about 46949.9137379399. The cubic root of 2204294400 is about 1301.4371483215.

The spelling of 2204294400 in words is "two billion, two hundred four million, two hundred ninety-four thousand, four hundred".