2427564906 has 96 divisors (see below), whose sum is σ = 6060862080. Its totient is φ = 695952000.

The previous prime is 2427564889. The next prime is 2427564907. The reversal of 2427564906 is 6094657242.

It is not an unprimeable number, because it can be changed into a prime (2427564907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266731 + ... + 275681.

It is an arithmetic number, because the mean of its divisors is an integer number (63133980).

Almost surely, 2^2427564906 is an apocalyptic number.

2427564906 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 2427564906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030431040).

2427564906 is an abundant number, since it is smaller than the sum of its proper divisors (3633297174).

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

2427564906 is a wasteful number, since it uses less digits than its factorization.

2427564906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2427564906 is about 49270.3248010402. The cubic root of 2427564906 is about 1343.9721939666.

The spelling of 2427564906 in words is "two billion, four hundred twenty-seven million, five hundred sixty-four thousand, nine hundred six".