2616395040 has 384 divisors, whose sum is σ = 10807050240. Its totient is φ = 578534400.

The previous prime is 2616395039. The next prime is 2616395059. The reversal of 2616395040 is 405936162.

It is a happy number.

2616395040 is a `hidden beast` number, since 2 + 616 + 39 + 5 + 0 + 4 + 0 = 666.

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 = 2616394986 and 2616395004.

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, 936045 + ... + 938835.

It is an arithmetic number, because the mean of its divisors is an integer number (28143360).

Almost surely, 2^2616395040 is an apocalyptic number.

2616395040 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 2616395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403525120).

2616395040 is an abundant number, since it is smaller than the sum of its proper divisors (8190655200).

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

2616395040 is a wasteful number, since it uses less digits than its factorization.

2616395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2616395040 is about 51150.7090859941. The cubic root of 2616395040 is about 1377.9531091087.

The spelling of 2616395040 in words is "two billion, six hundred sixteen million, three hundred ninety-five thousand, forty".