2551265024000 has 768 divisors, whose sum is σ = 8212874342400. Its totient is φ = 767606784000.

The previous prime is 2551265023999. The next prime is 2551265024017. The reversal of 2551265024000 is 4205621552.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571645769 + ... + 571650231.

It is an arithmetic number, because the mean of its divisors is an integer number (10693846800).

Almost surely, 2^{2551265024000} is an apocalyptic number.

2551265024000 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 2551265024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106437171200).

2551265024000 is an abundant number, since it is smaller than the sum of its proper divisors (5661609318400).

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

2551265024000 is a wasteful number, since it uses less digits than its factorization.

2551265024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 2551265024000 in words is "two trillion, five hundred fifty-one billion, two hundred sixty-five million, twenty-four thousand".