2516437040 has 120 divisors (see below), whose sum is σ = 6365106000. Its totient is φ = 924797952.

The previous prime is 2516437009. The next prime is 2516437043. The reversal of 2516437040 is 407346152.

2516437040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2516436988 and 2516437006.

It is not an unprimeable number, because it can be changed into a prime (2516437043) 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, 5042711 + ... + 5043209.

It is an arithmetic number, because the mean of its divisors is an integer number (53042550).

Almost surely, 2^2516437040 is an apocalyptic number.

2516437040 is a gapful number since it is divisible by the number (20) 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 2516437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182553000).

2516437040 is an abundant number, since it is smaller than the sum of its proper divisors (3848668960).

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

2516437040 is a wasteful number, since it uses less digits than its factorization.

2516437040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2516437040 is about 50164.1011082627. The cubic root of 2516437040 is about 1360.1767792119.

The spelling of 2516437040 in words is "two billion, five hundred sixteen million, four hundred thirty-seven thousand, forty".