2638587867720 has 512 divisors, whose sum is σ = 9538974720000. Its totient is φ = 570856366080.

The previous prime is 2638587867683. The next prime is 2638587867767. The reversal of 2638587867720 is 277687858362.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1035145006 + ... + 1035147554.

It is an arithmetic number, because the mean of its divisors is an integer number (18630810000).

Almost surely, 2^{2638587867720} is an apocalyptic number.

2638587867720 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 2638587867720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769487360000).

2638587867720 is an abundant number, since it is smaller than the sum of its proper divisors (6900386852280).

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

2638587867720 is a wasteful number, since it uses less digits than its factorization.

2638587867720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 69.

The spelling of 2638587867720 in words is "two trillion, six hundred thirty-eight billion, five hundred eighty-seven million, eight hundred sixty-seven thousand, seven hundred twenty".