2636734680 has 320 divisors, whose sum is σ = 9470118240. Its totient is φ = 658409472.

The previous prime is 2636734657. The next prime is 2636734687. The reversal of 2636734680 is 864376362.

2636734680 is a `hidden beast` number, since 2 + 636 + 7 + 3 + 4 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2636734687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13384342 + ... + 13384538.

Almost surely, 2^2636734680 is an apocalyptic number.

2636734680 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 2636734680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735059120).

2636734680 is an abundant number, since it is smaller than the sum of its proper divisors (6833383560).

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

2636734680 is an equidigital number, since it uses as much as digits as its factorization.

2636734680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2636734680 is about 51349.1448809033. The cubic root of 2636734680 is about 1381.5145941651.

The spelling of 2636734680 in words is "two billion, six hundred thirty-six million, seven hundred thirty-four thousand, six hundred eighty".