2680364160 has 384 divisors, whose sum is σ = 10127669760. Its totient is φ = 650280960.

The previous prime is 2680364149. The next prime is 2680364171. The reversal of 2680364160 is 614630862.

2680364160 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 3 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2680364149) and next prime (2680364171).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3035079 + ... + 3035961.

It is an arithmetic number, because the mean of its divisors is an integer number (26374140).

Almost surely, 2^2680364160 is an apocalyptic number.

2680364160 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 2680364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063834880).

2680364160 is an abundant number, since it is smaller than the sum of its proper divisors (7447305600).

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

2680364160 is a wasteful number, since it uses less digits than its factorization.

2680364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2680364160 is about 51772.2334847551. The cubic root of 2680364160 is about 1389.0928228283.

The spelling of 2680364160 in words is "two billion, six hundred eighty million, three hundred sixty-four thousand, one hundred sixty".