2252685600 has 576 divisors, whose sum is σ = 9374400000. Its totient is φ = 516326400.

The previous prime is 2252685559. The next prime is 2252685613. The reversal of 2252685600 is 65862522.

2252685600 is a `hidden beast` number, since 2 + 25 + 26 + 8 + 5 + 600 = 666.

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

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, 4514151 + ... + 4514649.

It is an arithmetic number, because the mean of its divisors is an integer number (16275000).

Almost surely, 2^2252685600 is an apocalyptic number.

2252685600 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 2252685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200000).

2252685600 is an abundant number, since it is smaller than the sum of its proper divisors (7121714400).

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

2252685600 is a wasteful number, since it uses less digits than its factorization.

2252685600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2252685600 is about 47462.4651698582. The cubic root of 2252685600 is about 1310.8918426343.

The spelling of 2252685600 in words is "two billion, two hundred fifty-two million, six hundred eighty-five thousand, six hundred".