2537258256000 has 1792 divisors, whose sum is σ = 10555093130400. Its totient is φ = 601974374400.

The previous prime is 2537258255989. The next prime is 2537258256019. The reversal of 2537258256000 is 6528527352.

2537258256000 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 2 + 5 + 82 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5111678016 + 2532146577984 = 71496^2 + 1591272^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4397327712 + ... + 4397328288.

Almost surely, 2^{2537258256000} is an apocalyptic number.

2537258256000 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 2537258256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277546565200).

2537258256000 is an abundant number, since it is smaller than the sum of its proper divisors (8017834874400).

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

2537258256000 is an equidigital number, since it uses as much as digits as its factorization.

2537258256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2537258256000 in words is "two trillion, five hundred thirty-seven billion, two hundred fifty-eight million, two hundred fifty-six thousand".