2573222400 has 360 divisors, whose sum is σ = 10527701184. Its totient is φ = 587980800.

The previous prime is 2573222329. The next prime is 2573222413. The reversal of 2573222400 is 42223752.

2573222400 is a `hidden beast` number, since 257 + 3 + 2 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 804805 + ... + 807995.

Almost surely, 2^2573222400 is an apocalyptic number.

2573222400 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 2573222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263850592).

2573222400 is an abundant number, since it is smaller than the sum of its proper divisors (7954478784).

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

2573222400 is a wasteful number, since it uses less digits than its factorization.

2573222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2573222400 is about 50726.9395883489. The cubic root of 2573222400 is about 1370.3319209261.

The spelling of 2573222400 in words is "two billion, five hundred seventy-three million, two hundred twenty-two thousand, four hundred".