2646832320 has 672 divisors, whose sum is σ = 10669950720. Its totient is φ = 596090880.

The previous prime is 2646832271. The next prime is 2646832327. The reversal of 2646832320 is 232386462.

2646832320 is a `hidden beast` number, since 2 + 646 + 8 + 3 + 2 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646832327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39504927 + ... + 39504993.

Almost surely, 2^2646832320 is an apocalyptic number.

2646832320 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 2646832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334975360).

2646832320 is an abundant number, since it is smaller than the sum of its proper divisors (8023118400).

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

2646832320 is a wasteful number, since it uses less digits than its factorization.

2646832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2646832320 is about 51447.3742770221. The cubic root of 2646832320 is about 1383.2758972943.

The spelling of 2646832320 in words is "two billion, six hundred forty-six million, eight hundred thirty-two thousand, three hundred twenty".