2204706400 has 216 divisors, whose sum is σ = 6090078960. Its totient is φ = 777553920.

The previous prime is 2204706397. The next prime is 2204706461. The reversal of 2204706400 is 46074022.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3109246 + ... + 3109954.

It is an arithmetic number, because the mean of its divisors is an integer number (28194810).

Almost surely, 2^2204706400 is an apocalyptic number.

2204706400 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 2204706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045039480).

2204706400 is an abundant number, since it is smaller than the sum of its proper divisors (3885372560).

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

2204706400 is a wasteful number, since it uses less digits than its factorization.

2204706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2204706400 is about 46954.3011874312. The cubic root of 2204706400 is about 1301.5182262245.

The spelling of 2204706400 in words is "two billion, two hundred four million, seven hundred six thousand, four hundred".