2516985504 has 288 divisors, whose sum is σ = 8066822400. Its totient is φ = 738017280.

The previous prime is 2516985463. The next prime is 2516985517. The reversal of 2516985504 is 4055896152.

2516985504 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 98 + 550 + 4 = 666.

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

It is a super-2 number, since 2×2516985504² = 12670432054692268032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2516985504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22274152 + ... + 22274264.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 2^2516985504 is an apocalyptic number.

2516985504 is a gapful number since it is divisible by the number (24) 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 2516985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033411200).

2516985504 is an abundant number, since it is smaller than the sum of its proper divisors (5549836896).

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

2516985504 is a wasteful number, since it uses less digits than its factorization.

2516985504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 2516985504 is about 50169.5675086003. The cubic root of 2516985504 is about 1360.2755900561.

The spelling of 2516985504 in words is "two billion, five hundred sixteen million, nine hundred eighty-five thousand, five hundred four".