2640732640 has 192 divisors, whose sum is σ = 7795920384. Its totient is φ = 822970368.

The previous prime is 2640732629. The next prime is 2640732659. The reversal of 2640732640 is 462370462.

It is a super-2 number, since 2×2640732640² = 13946937751922739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2640732596 and 2640732605.

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, 974167 + ... + 976873.

It is an arithmetic number, because the mean of its divisors is an integer number (40603752).

Almost surely, 2^2640732640 is an apocalyptic number.

2640732640 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 2640732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897960192).

2640732640 is an abundant number, since it is smaller than the sum of its proper divisors (5155187744).

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

2640732640 is a wasteful number, since it uses less digits than its factorization.

2640732640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 2640732640 is about 51388.0593134242. The cubic root of 2640732640 is about 1382.2124839873.

The spelling of 2640732640 in words is "two billion, six hundred forty million, seven hundred thirty-two thousand, six hundred forty".