2516512992 has 144 divisors (see below), whose sum is σ = 8136631440. Its totient is φ = 676687872.

The previous prime is 2516512987. The next prime is 2516512997. The reversal of 2516512992 is 2992156152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2516512987) and next prime (2516512997).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516512997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64234 + ... + 95702.

It is an arithmetic number, because the mean of its divisors is an integer number (56504385).

Almost surely, 2^2516512992 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 2516512992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068315720).

2516512992 is an abundant number, since it is smaller than the sum of its proper divisors (5620118448).

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

2516512992 is a wasteful number, since it uses less digits than its factorization.

2516512992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31513 (or 31498 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 2516512992 is about 50164.8581379435. The cubic root of 2516512992 is about 1360.1904635210.

The spelling of 2516512992 in words is "two billion, five hundred sixteen million, five hundred twelve thousand, nine hundred ninety-two".