2253749904000 has 1152 divisors, whose sum is σ = 9911339755200. Its totient is φ = 488001024000.

The previous prime is 2253749903989. The next prime is 2253749904067. The reversal of 2253749904000 is 4099473522.

2253749904000 is a `hidden beast` number, since 22 + 537 + 4 + 9 + 90 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134055595 + ... + 134072405.

Almost surely, 2^{2253749904000} is an apocalyptic number.

2253749904000 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 2253749904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955669877600).

2253749904000 is an abundant number, since it is smaller than the sum of its proper divisors (7657589851200).

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

2253749904000 is a wasteful number, since it uses less digits than its factorization.

2253749904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16879 (or 16847 counting only the distinct ones).

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

The spelling of 2253749904000 in words is "two trillion, two hundred fifty-three billion, seven hundred forty-nine million, nine hundred four thousand".