2516596992 has 288 divisors, whose sum is σ = 9161698560. Its totient is φ = 663552000.

The previous prime is 2516596969. The next prime is 2516596993. The reversal of 2516596992 is 2996956152.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2516596993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626992 + ... + 630992.

Almost surely, 2^2516596992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580849280).

2516596992 is an abundant number, since it is smaller than the sum of its proper divisors (6645101568).

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

2516596992 is a wasteful number, since it uses less digits than its factorization.

2516596992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4026 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 2516596992 is about 50165.6953704421. The cubic root of 2516596992 is about 1360.2055975217.

The spelling of 2516596992 in words is "two billion, five hundred sixteen million, five hundred ninety-six thousand, nine hundred ninety-two".