2430900906 has 64 divisors (see below), whose sum is σ = 5706167040. Its totient is φ = 675901440.

The previous prime is 2430900881. The next prime is 2430900917. The reversal of 2430900906 is 6090090342.

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, 785410 + ... + 788498.

It is an arithmetic number, because the mean of its divisors is an integer number (89158860).

Almost surely, 2^2430900906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430900906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853083520).

2430900906 is an abundant number, since it is smaller than the sum of its proper divisors (3275266134).

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

2430900906 is a wasteful number, since it uses less digits than its factorization.

2430900906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2430900906 is about 49304.1672275275. The cubic root of 2430900906 is about 1344.5875484770.

The spelling of 2430900906 in words is "two billion, four hundred thirty million, nine hundred thousand, nine hundred six".