2551366523424 has 96 divisors (see below), whose sum is σ = 6828956636544. Its totient is φ = 833766635520.

The previous prime is 2551366523353. The next prime is 2551366523441. The reversal of 2551366523424 is 4243256631552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2551366523424² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6437244 + ... + 6822084.

It is an arithmetic number, because the mean of its divisors is an integer number (71134964964).

Almost surely, 2^{2551366523424} is an apocalyptic number.

2551366523424 is a gapful number since it is divisible by the number (24) 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 2551366523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414478318272).

2551366523424 is an abundant number, since it is smaller than the sum of its proper divisors (4277590113120).

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

2551366523424 is a wasteful number, since it uses less digits than its factorization.

2551366523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386210 (or 386202 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 48.

The spelling of 2551366523424 in words is "two trillion, five hundred fifty-one billion, three hundred sixty-six million, five hundred twenty-three thousand, four hundred twenty-four".