2616416640 has 320 divisors, whose sum is σ = 9579366720. Its totient is φ = 680140800.

The previous prime is 2616416629. The next prime is 2616416651. The reversal of 2616416640 is 466146162.

2616416640 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 4 + 1 + 6 + 640 = 666.

2616416640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2616416629) and next prime (2616416651).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2616416595 and 2616416604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2124825 + ... + 2126055.

It is an arithmetic number, because the mean of its divisors is an integer number (29935521).

Almost surely, 2^2616416640 is an apocalyptic number.

2616416640 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 2616416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789683360).

2616416640 is an abundant number, since it is smaller than the sum of its proper divisors (6962950080).

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

2616416640 is a wasteful number, since it uses less digits than its factorization.

2616416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1282 counting only the distinct ones).

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

The square root of 2616416640 is about 51150.9202263263. The cubic root of 2616416640 is about 1377.9569010572.

The spelling of 2616416640 in words is "two billion, six hundred sixteen million, four hundred sixteen thousand, six hundred forty".