2638687152860 has 96 divisors (see below), whose sum is σ = 6085869177024. Its totient is φ = 953047296000.

The previous prime is 2638687152851. The next prime is 2638687152869. The reversal of 2638687152860 is 682517868362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2638687152851) and next prime (2638687152869).

It is a junction number, because it is equal to n+sod(n) for n = 2638687152793 and 2638687152802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638687152869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32651864 + ... + 32732576.

It is an arithmetic number, because the mean of its divisors is an integer number (63394470594).

Almost surely, 2^{2638687152860} is an apocalyptic number.

2638687152860 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 2638687152860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042934588512).

2638687152860 is an abundant number, since it is smaller than the sum of its proper divisors (3447182024164).

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

2638687152860 is a wasteful number, since it uses less digits than its factorization.

2638687152860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81735 (or 81733 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 62.

The spelling of 2638687152860 in words is "two trillion, six hundred thirty-eight billion, six hundred eighty-seven million, one hundred fifty-two thousand, eight hundred sixty".