2516436072 has 144 divisors (see below), whose sum is σ = 7391442240. Its totient is φ = 802014048.

The previous prime is 2516436061. The next prime is 2516436079. The reversal of 2516436072 is 2706346152.

2516436072 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 43 + 607 + 2 = 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 (2516436079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1027153 + ... + 1029599.

It is an arithmetic number, because the mean of its divisors is an integer number (51329460).

Almost surely, 2^2516436072 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 2516436072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695721120).

2516436072 is an abundant number, since it is smaller than the sum of its proper divisors (4875006168).

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

2516436072 is a wasteful number, since it uses less digits than its factorization.

2516436072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2516436072 is about 50164.0914599278. The cubic root of 2516436072 is about 1360.1766048051.

The spelling of 2516436072 in words is "two billion, five hundred sixteen million, four hundred thirty-six thousand, seventy-two".