2516757540 has 96 divisors (see below), whose sum is σ = 7780340736. Its totient is φ = 602759040.

The previous prime is 2516757533. The next prime is 2516757553. The reversal of 2516757540 is 457576152.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2516757492 and 2516757501.

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 31 ways as a sum of consecutive naturals, for example, 31809 + ... + 77751.

It is an arithmetic number, because the mean of its divisors is an integer number (81045216).

Almost surely, 2^2516757540 is an apocalyptic number.

2516757540 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 2516757540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890170368).

2516757540 is an abundant number, since it is smaller than the sum of its proper divisors (5263583196).

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

2516757540 is a wasteful number, since it uses less digits than its factorization.

2516757540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46049 (or 46047 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The square root of 2516757540 is about 50167.2955220829. The cubic root of 2516757540 is about 1360.2345219840.

The spelling of 2516757540 in words is "two billion, five hundred sixteen million, seven hundred fifty-seven thousand, five hundred forty".