2516627556 has 63 divisors (see below), whose sum is σ = 6610242121. Its totient is φ = 837972864.

The previous prime is 2516627551. The next prime is 2516627599. The reversal of 2516627556 is 6557266152.

The square root of 2516627556 is 50166.

It is a perfect power (a square), and thus also a powerful number.

2516627556 is a `hidden beast` number, since 2 + 5 + 16 + 627 + 5 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48525156 + 2468102400 = 6966^2 + 49680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2516627551) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2708500 + ... + 2709428.

Almost surely, 2^2516627556 is an apocalyptic number.

2516627556 is the 50166-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516627556

2516627556 is an abundant number, since it is smaller than the sum of its proper divisors (4093614565).

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

2516627556 is an frugal number, since it uses more digits than its factorization.

2516627556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 934 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The cubic root of 2516627556 is about 1360.2111040524.

The spelling of 2516627556 in words is "two billion, five hundred sixteen million, six hundred twenty-seven thousand, five hundred fifty-six".