2680605900 has 576 divisors, whose sum is σ = 10659317760. Its totient is φ = 571069440.

The previous prime is 2680605841. The next prime is 2680605973. The reversal of 2680605900 is 95060862.

2680605900 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 60 + 590 + 0 = 666.

It is a super-2 number, since 2×2680605900² = 14371295982229620000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 26025249 + ... + 26025351.

It is an arithmetic number, because the mean of its divisors is an integer number (18505760).

Almost surely, 2^2680605900 is an apocalyptic number.

2680605900 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 2680605900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329658880).

2680605900 is an abundant number, since it is smaller than the sum of its proper divisors (7978711860).

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

2680605900 is a wasteful number, since it uses less digits than its factorization.

2680605900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2680605900 is about 51774.5680812501. The cubic root of 2680605900 is about 1389.1345819805.

The spelling of 2680605900 in words is "two billion, six hundred eighty million, six hundred five thousand, nine hundred".