2566195632 has 480 divisors, whose sum is σ = 10161016320. Its totient is φ = 582266880.

The previous prime is 2566195579. The next prime is 2566195633. The reversal of 2566195632 is 2365916652.

2566195632 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 1 + 9 + 5 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (2566195633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738268 + ... + 2739204.

It is an arithmetic number, because the mean of its divisors is an integer number (21168784).

Almost surely, 2^2566195632 is an apocalyptic number.

2566195632 is a gapful number since it is divisible by the number (22) 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 2566195632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080508160).

2566195632 is an abundant number, since it is smaller than the sum of its proper divisors (7594820688).

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

2566195632 is a wasteful number, since it uses less digits than its factorization.

2566195632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 2566195632 is about 50657.6315277373. The cubic root of 2566195632 is about 1369.0834496785.

The spelling of 2566195632 in words is "two billion, five hundred sixty-six million, one hundred ninety-five thousand, six hundred thirty-two".