2516049879552 has 800 divisors, whose sum is σ = 8781043227264. Its totient is φ = 709469798400.

The previous prime is 2516049879533. The next prime is 2516049879569. The reversal of 2516049879552 is 2559789406152.

2516049879552 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 0 + 4 + 9 + 8 + 79 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2516049879552.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 388216152 + ... + 388222632.

Almost surely, 2^{2516049879552} is an apocalyptic number.

2516049879552 is a gapful number since it is divisible by the number (22) 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 2516049879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390521613632).

2516049879552 is an abundant number, since it is smaller than the sum of its proper divisors (6264993347712).

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

2516049879552 is a wasteful number, since it uses less digits than its factorization.

2516049879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 2516049879552 in words is "two trillion, five hundred sixteen billion, forty-nine million, eight hundred seventy-nine thousand, five hundred fifty-two".