2412906090 has 128 divisors (see below), whose sum is σ = 6772211712. Its totient is φ = 538786560.

The previous prime is 2412906073. The next prime is 2412906187. The reversal of 2412906090 is 906092142.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4796779 + ... + 4797281.

It is an arithmetic number, because the mean of its divisors is an integer number (52907904).

Almost surely, 2^2412906090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412906090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386105856).

2412906090 is an abundant number, since it is smaller than the sum of its proper divisors (4359305622).

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

2412906090 is a wasteful number, since it uses less digits than its factorization.

2412906090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2412906090 is about 49121.3404743804. The cubic root of 2412906090 is about 1341.2615449209.

The spelling of 2412906090 in words is "two billion, four hundred twelve million, nine hundred six thousand, ninety".