2611057680 has 400 divisors, whose sum is σ = 11308454784. Its totient is φ = 542453760.

The previous prime is 2611057663. The next prime is 2611057711. The reversal of 2611057680 is 867501162.

2611057680 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 0 + 576 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 496344 + ... + 501576.

Almost surely, 2^2611057680 is an apocalyptic number.

2611057680 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 2611057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654227392).

2611057680 is an abundant number, since it is smaller than the sum of its proper divisors (8697397104).

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

2611057680 is a wasteful number, since it uses less digits than its factorization.

2611057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2611057680 is about 51098.5095673054. The cubic root of 2611057680 is about 1377.0154782033.

The spelling of 2611057680 in words is "two billion, six hundred eleven million, fifty-seven thousand, six hundred eighty".