2551212675840 has 576 divisors, whose sum is σ = 8711580326400. Its totient is φ = 634466598912.

The previous prime is 2551212675827. The next prime is 2551212675853. The reversal of 2551212675840 is 485762121552.

It is an interprime number because it is at equal distance from previous prime (2551212675827) and next prime (2551212675853).

It is a super-2 number, since 2×2551212675840² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2551212675840.

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, 1350561616 + ... + 1350563504.

It is an arithmetic number, because the mean of its divisors is an integer number (15124271400).

Almost surely, 2^{2551212675840} is an apocalyptic number.

2551212675840 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 2551212675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355790163200).

2551212675840 is an abundant number, since it is smaller than the sum of its proper divisors (6160367650560).

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

2551212675840 is a wasteful number, since it uses less digits than its factorization.

2551212675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 2551212675840 in words is "two trillion, five hundred fifty-one billion, two hundred twelve million, six hundred seventy-five thousand, eight hundred forty".