2634096960 has 672 divisors, whose sum is σ = 10766950272. Its totient is φ = 583925760.

The previous prime is 2634096953. The next prime is 2634096973. The reversal of 2634096960 is 696904362.

2634096960 is a `hidden beast` number, since 2 + 634 + 0 + 9 + 6 + 9 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36083484 + ... + 36083556.

Almost surely, 2^2634096960 is an apocalyptic number.

2634096960 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 2634096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383475136).

2634096960 is an abundant number, since it is smaller than the sum of its proper divisors (8132853312).

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

2634096960 is a wasteful number, since it uses less digits than its factorization.

2634096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2634096960 is about 51323.4542874893. The cubic root of 2634096960 is about 1381.0537635128.

The spelling of 2634096960 in words is "two billion, six hundred thirty-four million, ninety-six thousand, nine hundred sixty".