2640658944 has 320 divisors, whose sum is σ = 8909429760. Its totient is φ = 675102720.

The previous prime is 2640658927. The next prime is 2640658963. The reversal of 2640658944 is 4498560462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2640658893 and 2640658902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9816442 + ... + 9816710.

It is an arithmetic number, because the mean of its divisors is an integer number (27841968).

Almost surely, 2^2640658944 is an apocalyptic number.

2640658944 is a gapful number since it is divisible by the number (24) 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 2640658944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454714880).

2640658944 is an abundant number, since it is smaller than the sum of its proper divisors (6268770816).

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

2640658944 is a wasteful number, since it uses less digits than its factorization.

2640658944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2640658944 is about 51387.3422546837. The cubic root of 2640658944 is about 1382.1996258790.

The spelling of 2640658944 in words is "two billion, six hundred forty million, six hundred fifty-eight thousand, nine hundred forty-four".