2517910668 has 216 divisors, whose sum is σ = 8112882960. Its totient is φ = 652458240.

The previous prime is 2517910663. The next prime is 2517910669. The reversal of 2517910668 is 8660197152.

It is not an unprimeable number, because it can be changed into a prime (2517910663) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1352058 + ... + 1353918.

Almost surely, 2^2517910668 is an apocalyptic number.

2517910668 is a gapful number since it is divisible by the number (28) 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 2517910668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056441480).

2517910668 is an abundant number, since it is smaller than the sum of its proper divisors (5594972292).

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

2517910668 is a wasteful number, since it uses less digits than its factorization.

2517910668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2517910668 is about 50178.7870319720. The cubic root of 2517910668 is about 1360.4422343539.

The spelling of 2517910668 in words is "two billion, five hundred seventeen million, nine hundred ten thousand, six hundred sixty-eight".