2566437216 has 192 divisors, whose sum is σ = 7959264768. Its totient is φ = 708784128.

The previous prime is 2566437173. The next prime is 2566437227. The reversal of 2566437216 is 6127346652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5793091 + ... + 5793533.

It is an arithmetic number, because the mean of its divisors is an integer number (41454504).

Almost surely, 2^2566437216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566437216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979632384).

2566437216 is an abundant number, since it is smaller than the sum of its proper divisors (5392827552).

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

2566437216 is a wasteful number, since it uses less digits than its factorization.

2566437216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 2566437216 is about 50660.0159494645. The cubic root of 2566437216 is about 1369.1264105858.

The spelling of 2566437216 in words is "two billion, five hundred sixty-six million, four hundred thirty-seven thousand, two hundred sixteen".