2252215929600 has 3456 divisors, whose sum is σ = 10787087360000. Its totient is φ = 456497233920.

The previous prime is 2252215929589. The next prime is 2252215929617. The reversal of 2252215929600 is 69295122522.

2252215929600 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 2 + 15 + 9 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28509062361 + ... + 28509062439.

Almost surely, 2^{2252215929600} is an apocalyptic number.

2252215929600 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 2252215929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393543680000).

2252215929600 is an abundant number, since it is smaller than the sum of its proper divisors (8534871430400).

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

2252215929600 is a wasteful number, since it uses less digits than its factorization.

2252215929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2252215929600 in words is "two trillion, two hundred fifty-two billion, two hundred fifteen million, nine hundred twenty-nine thousand, six hundred".