2566465600 has 84 divisors (see below), whose sum is σ = 6329247184. Its totient is φ = 1024289280.

The previous prime is 2566465579. The next prime is 2566465607. The reversal of 2566465600 is 65646652.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2566465607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835267 + ... + 838333.

Almost surely, 2^2566465600 is an apocalyptic number.

2566465600 is a gapful number since it is divisible by the number (20) 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 2566465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164623592).

2566465600 is an abundant number, since it is smaller than the sum of its proper divisors (3762781584).

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

2566465600 is a wasteful number, since it uses less digits than its factorization.

2566465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 2566465600 is about 50660.2960907257. The cubic root of 2566465600 is about 1369.1314579384.

The spelling of 2566465600 in words is "two billion, five hundred sixty-six million, four hundred sixty-five thousand, six hundred".