2646824640 has 336 divisors, whose sum is σ = 9201058560. Its totient is φ = 642816000.

The previous prime is 2646824629. The next prime is 2646824669. The reversal of 2646824640 is 464286462.

It is a super-2 number, since 2×2646824640² = 14011361349822259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2646824592 and 2646824601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17528565 + ... + 17528715.

Almost surely, 2^2646824640 is an apocalyptic number.

2646824640 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 2646824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600529280).

2646824640 is an abundant number, since it is smaller than the sum of its proper divisors (6554233920).

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

2646824640 is a wasteful number, since it uses less digits than its factorization.

2646824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 2646824640 is about 51447.2996375903. The cubic root of 2646824640 is about 1383.2745593971.

The spelling of 2646824640 in words is "two billion, six hundred forty-six million, eight hundred twenty-four thousand, six hundred forty".