2460164616 has 256 divisors, whose sum is σ = 8592998400. Its totient is φ = 634791168.

The previous prime is 2460164599. The next prime is 2460164621. The reversal of 2460164616 is 6164610642.

2460164616 is a `hidden beast` number, since 2 + 4 + 6 + 0 + 1 + 646 + 1 + 6 = 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 63 ways as a sum of consecutive naturals, for example, 922501 + ... + 925163.

It is an arithmetic number, because the mean of its divisors is an integer number (33566400).

Almost surely, 2^2460164616 is an apocalyptic number.

2460164616 is a gapful number since it is divisible by the number (26) 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 2460164616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296499200).

2460164616 is an abundant number, since it is smaller than the sum of its proper divisors (6132833784).

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

2460164616 is a wasteful number, since it uses less digits than its factorization.

2460164616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2735 counting only the distinct ones).

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

The square root of 2460164616 is about 49600.0465322362. The cubic root of 2460164616 is about 1349.9615198908.

The spelling of 2460164616 in words is "two billion, four hundred sixty million, one hundred sixty-four thousand, six hundred sixteen".