2645959680 has 528 divisors, whose sum is σ = 11301798144. Its totient is φ = 557383680.

The previous prime is 2645959663. The next prime is 2645959697. The reversal of 2645959680 is 869595462.

It is a happy number.

2645959680 is a `hidden beast` number, since 2 + 6 + 45 + 9 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2645959663) and next prime (2645959697).

It is a super-2 number, since 2×2645959680² = 14002205256371404800, which contains 22 as substring.

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, 4192965 + ... + 4193595.

Almost surely, 2^2645959680 is an apocalyptic number.

2645959680 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 2645959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650899072).

2645959680 is an abundant number, since it is smaller than the sum of its proper divisors (8655838464).

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

2645959680 is a wasteful number, since it uses less digits than its factorization.

2645959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2645959680 is about 51438.8926785949. The cubic root of 2645959680 is about 1383.1238621551.

The spelling of 2645959680 in words is "two billion, six hundred forty-five million, nine hundred fifty-nine thousand, six hundred eighty".