2638888888680 has 192 divisors, whose sum is σ = 9433385133120. Its totient is φ = 639730523520.

The previous prime is 2638888888679. The next prime is 2638888888681. The reversal of 2638888888680 is 868888888362.

2638888888680 is a `hidden beast` number, since 2 + 6 + 388 + 8 + 8 + 88 + 86 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2638888888679) and next prime (2638888888681).

It is a self number, because there is not a number n which added to its sum of digits gives 2638888888680.

It is not an unprimeable number, because it can be changed into a prime (2638888888681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2274502 + ... + 3232821.

It is an arithmetic number, because the mean of its divisors is an integer number (49132214235).

Almost surely, 2^{2638888888680} is an apocalyptic number.

2638888888680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638888888680 is an abundant number, since it is smaller than the sum of its proper divisors (6794496244440).

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

2638888888680 is a wasteful number, since it uses less digits than its factorization.

2638888888680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507373 (or 5507344 counting only the distinct ones).

The product of its (nonzero) digits is 3623878656, while the sum is 81.

The spelling of 2638888888680 in words is "two trillion, six hundred thirty-eight billion, eight hundred eighty-eight million, eight hundred eighty-eight thousand, six hundred eighty".