2516640516 has 360 divisors, whose sum is σ = 7812050400. Its totient is φ = 703572480.

The previous prime is 2516640491. The next prime is 2516640517. The reversal of 2516640516 is 6150466152.

2516640516 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 640 + 5 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2516640517) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42654895 + ... + 42654953.

It is an arithmetic number, because the mean of its divisors is an integer number (21700140).

Almost surely, 2^2516640516 is an apocalyptic number.

2516640516 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 2516640516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906025200).

2516640516 is an abundant number, since it is smaller than the sum of its proper divisors (5295409884).

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

2516640516 is a wasteful number, since it uses less digits than its factorization.

2516640516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2516640516 is about 50166.1291709855. The cubic root of 2516640516 is about 1360.2134389636.

The spelling of 2516640516 in words is "two billion, five hundred sixteen million, six hundred forty thousand, five hundred sixteen".