2567216496 has 160 divisors (see below), whose sum is σ = 7344529920. Its totient is φ = 767849472.

The previous prime is 2567216489. The next prime is 2567216513. The reversal of 2567216496 is 6946127652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791710 + ... + 3792386.

It is an arithmetic number, because the mean of its divisors is an integer number (45903312).

Almost surely, 2^2567216496 is an apocalyptic number.

2567216496 is a gapful number since it is divisible by the number (26) 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 2567216496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672264960).

2567216496 is an abundant number, since it is smaller than the sum of its proper divisors (4777313424).

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

2567216496 is a wasteful number, since it uses less digits than its factorization.

2567216496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 857 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 2567216496 is about 50667.7066384497. The cubic root of 2567216496 is about 1369.2649716556.

The spelling of 2567216496 in words is "two billion, five hundred sixty-seven million, two hundred sixteen thousand, four hundred ninety-six".