2517630976 has 105 divisors (see below), whose sum is σ = 5874119951. Its totient is φ = 1078984704.

The previous prime is 2517630937. The next prime is 2517631009. The reversal of 2517630976 is 6790367152.

The square root of 2517630976 is 50176.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 359661565 + ... + 359661571.

Almost surely, 2^2517630976 is an apocalyptic number.

2517630976 is the 50176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2517630976

2517630976 is an abundant number, since it is smaller than the sum of its proper divisors (3356488975).

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

2517630976 is an frugal number, since it uses more digits than its factorization.

2517630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The cubic root of 2517630976 is about 1360.3918594003.

The spelling of 2517630976 in words is "two billion, five hundred seventeen million, six hundred thirty thousand, nine hundred seventy-six".