2252976768000 has 1760 divisors, whose sum is σ = 9866898961920. Its totient is φ = 500450918400.

The previous prime is 2252976767983. The next prime is 2252976768013. The reversal of 2252976768000 is 8676792522.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2685311581 + ... + 2685312419.

It is an arithmetic number, because the mean of its divisors is an integer number (5606192592).

Almost surely, 2^{2252976768000} is an apocalyptic number.

2252976768000 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 2252976768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933449480960).

2252976768000 is an abundant number, since it is smaller than the sum of its proper divisors (7613922193920).

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

2252976768000 is an equidigital number, since it uses as much as digits as its factorization.

2252976768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2252976768000 in words is "two trillion, two hundred fifty-two billion, nine hundred seventy-six million, seven hundred sixty-eight thousand".