2532564606 has 192 divisors, whose sum is σ = 6542323200. Its totient is φ = 646652160.

The previous prime is 2532564583. The next prime is 2532564611. The reversal of 2532564606 is 6064652352.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5200095 + ... + 5200581.

It is an arithmetic number, because the mean of its divisors is an integer number (34074600).

Almost surely, 2^2532564606 is an apocalyptic number.

2532564606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532564606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271161600).

2532564606 is an abundant number, since it is smaller than the sum of its proper divisors (4009758594).

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

2532564606 is a wasteful number, since it uses less digits than its factorization.

2532564606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 2532564606 is about 50324.5924573662. The cubic root of 2532564606 is about 1363.0763344228.

The spelling of 2532564606 in words is "two billion, five hundred thirty-two million, five hundred sixty-four thousand, six hundred six".