2608104960 has 320 divisors, whose sum is σ = 9383774400. Its totient is φ = 686555136.

The previous prime is 2608104949. The next prime is 2608105063. The reversal of 2608104960 is 694018062.

2608104960 is a `hidden beast` number, since 2 + 608 + 1 + 0 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2608104960² = 13604422964753203200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6704446 + ... + 6704834.

It is an arithmetic number, because the mean of its divisors is an integer number (29324295).

Almost surely, 2^2608104960 is an apocalyptic number.

2608104960 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 2608104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691887200).

2608104960 is an abundant number, since it is smaller than the sum of its proper divisors (6775669440).

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

2608104960 is an equidigital number, since it uses as much as digits as its factorization.

2608104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2608104960 is about 51069.6089665860. The cubic root of 2608104960 is about 1376.4962154799.

The spelling of 2608104960 in words is "two billion, six hundred eight million, one hundred four thousand, nine hundred sixty".