2551838640680 has 96 divisors (see below), whose sum is σ = 6612356229120. Its totient is φ = 868235721600.

The previous prime is 2551838640671. The next prime is 2551838640683. The reversal of 2551838640680 is 860468381552.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2551838640683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4539545 + ... + 5070615.

It is an arithmetic number, because the mean of its divisors is an integer number (68878710720).

Almost surely, 2^{2551838640680} is an apocalyptic number.

2551838640680 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 2551838640680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306178114560).

2551838640680 is an abundant number, since it is smaller than the sum of its proper divisors (4060517588440).

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

2551838640680 is a wasteful number, since it uses less digits than its factorization.

2551838640680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531351 (or 531216 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 56.

The spelling of 2551838640680 in words is "two trillion, five hundred fifty-one billion, eight hundred thirty-eight million, six hundred forty thousand, six hundred eighty".