2011858464 has 288 divisors, whose sum is σ = 6825772800. Its totient is φ = 512924160.

The previous prime is 2011858427. The next prime is 2011858487. The reversal of 2011858464 is 4648581102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3052567 + ... + 3053225.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600).

Almost surely, 2^2011858464 is an apocalyptic number.

2011858464 is a gapful number since it is divisible by the number (24) 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 2011858464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412886400).

2011858464 is an abundant number, since it is smaller than the sum of its proper divisors (4813914336).

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

2011858464 is a wasteful number, since it uses less digits than its factorization.

2011858464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2011858464 is about 44853.7452616836. The cubic root of 2011858464 is about 1262.4062659423.

The spelling of 2011858464 in words is "two billion, eleven million, eight hundred fifty-eight thousand, four hundred sixty-four".