2634787680 has 192 divisors, whose sum is σ = 9512391168. Its totient is φ = 600514560.

The previous prime is 2634787669. The next prime is 2634787709. The reversal of 2634787680 is 867874362.

It is a super-2 number, since 2×2634787680² = 13884212237359564800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453975 + ... + 1455785.

It is an arithmetic number, because the mean of its divisors is an integer number (49543704).

Almost surely, 2^2634787680 is an apocalyptic number.

2634787680 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 2634787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756195584).

2634787680 is an abundant number, since it is smaller than the sum of its proper divisors (6877603488).

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

2634787680 is a wasteful number, since it uses less digits than its factorization.

2634787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 2634787680 is about 51330.1829336308. The cubic root of 2634787680 is about 1381.1744675089.

The spelling of 2634787680 in words is "two billion, six hundred thirty-four million, seven hundred eighty-seven thousand, six hundred eighty".