2253343291200 has 1008 divisors, whose sum is σ = 8460833472000. Its totient is φ = 568004935680.

The previous prime is 2253343291193. The next prime is 2253343291237. The reversal of 2253343291200 is 21923433522.

2253343291200 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 343 + 291 + 20 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 5509396596 + ... + 5509397004.

It is an arithmetic number, because the mean of its divisors is an integer number (8393684000).

Almost surely, 2^{2253343291200} is an apocalyptic number.

2253343291200 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 2253343291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230416736000).

2253343291200 is an abundant number, since it is smaller than the sum of its proper divisors (6207490180800).

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

2253343291200 is a wasteful number, since it uses less digits than its factorization.

2253343291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2253343291200 in words is "two trillion, two hundred fifty-three billion, three hundred forty-three million, two hundred ninety-one thousand, two hundred".