2253687300900 has 432 divisors, whose sum is σ = 8585768114560. Its totient is φ = 482982912000.

The previous prime is 2253687300899. The next prime is 2253687300929. The reversal of 2253687300900 is 90037863522.

2253687300900 is a `hidden beast` number, since 2 + 2 + 536 + 87 + 30 + 0 + 9 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 11513850 + ... + 11707950.

Almost surely, 2^{2253687300900} is an apocalyptic number.

2253687300900 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 2253687300900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292884057280).

2253687300900 is an abundant number, since it is smaller than the sum of its proper divisors (6332080813660).

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

2253687300900 is a wasteful number, since it uses less digits than its factorization.

2253687300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194244 (or 194234 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2253687300900 in words is "two trillion, two hundred fifty-three billion, six hundred eighty-seven million, three hundred thousand, nine hundred".