2613921408 has 256 divisors, whose sum is σ = 8883302400. Its totient is φ = 741215232.

The previous prime is 2613921397. The next prime is 2613921419. The reversal of 2613921408 is 8041293162.

2613921408 is a `hidden beast` number, since 261 + 392 + 1 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2613921397) and next prime (2613921419).

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 31 ways as a sum of consecutive naturals, for example, 4039741 + ... + 4040387.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 2^2613921408 is an apocalyptic number.

2613921408 is a gapful number since it is divisible by the number (28) 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 2613921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441651200).

2613921408 is an abundant number, since it is smaller than the sum of its proper divisors (6269380992).

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

2613921408 is a wasteful number, since it uses less digits than its factorization.

2613921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 826 counting only the distinct ones).

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

The square root of 2613921408 is about 51126.5235274217. The cubic root of 2613921408 is about 1377.5187170534.

The spelling of 2613921408 in words is "two billion, six hundred thirteen million, nine hundred twenty-one thousand, four hundred eight".