2646080640 has 768 divisors, whose sum is σ = 11303884800. Its totient is φ = 557383680.

The previous prime is 2646080561. The next prime is 2646080653. The reversal of 2646080640 is 460806462.

It is a happy number.

2646080640 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 0 + 8 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2646080595 and 2646080604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36247644 + ... + 36247716.

It is an arithmetic number, because the mean of its divisors is an integer number (14718600).

Almost surely, 2^2646080640 is an apocalyptic number.

2646080640 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 2646080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651942400).

2646080640 is an abundant number, since it is smaller than the sum of its proper divisors (8657804160).

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

2646080640 is a wasteful number, since it uses less digits than its factorization.

2646080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2646080640 is about 51440.0684291924. The cubic root of 2646080640 is about 1383.1449383283.

The spelling of 2646080640 in words is "two billion, six hundred forty-six million, eighty thousand, six hundred forty".