2905870464 has 160 divisors (see below), whose sum is σ = 9883473600. Its totient is φ = 830227968.

The previous prime is 2905870433. The next prime is 2905870511. The reversal of 2905870464 is 4640785092.

It is a happy number.

2905870464 is a `hidden beast` number, since 2 + 9 + 0 + 587 + 0 + 4 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52557 + ... + 92595.

It is an arithmetic number, because the mean of its divisors is an integer number (61771710).

Almost surely, 2^2905870464 is an apocalyptic number.

2905870464 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 2905870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941736800).

2905870464 is an abundant number, since it is smaller than the sum of its proper divisors (6977603136).

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

2905870464 is an equidigital number, since it uses as much as digits as its factorization.

2905870464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40072 (or 40051 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2905870464 is about 53906.1264050757. The cubic root of 2905870464 is about 1427.0047439786.

The spelling of 2905870464 in words is "two billion, nine hundred five million, eight hundred seventy thousand, four hundred sixty-four".