2640314880 has 800 divisors, whose sum is σ = 11550439296. Its totient is φ = 562692096.

The previous prime is 2640314839. The next prime is 2640314903. The reversal of 2640314880 is 884130462.

2640314880 is a `hidden beast` number, since 2 + 640 + 3 + 1 + 4 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24675787 + ... + 24675893.

Almost surely, 2^2640314880 is an apocalyptic number.

2640314880 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 2640314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775219648).

2640314880 is an abundant number, since it is smaller than the sum of its proper divisors (8910124416).

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

2640314880 is a wasteful number, since it uses less digits than its factorization.

2640314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2640314880 is about 51383.9943951422. The cubic root of 2640314880 is about 1382.1395921528.

The spelling of 2640314880 in words is "two billion, six hundred forty million, three hundred fourteen thousand, eight hundred eighty".