2905370960 has 80 divisors (see below), whose sum is σ = 6899625360. Its totient is φ = 1137377280.

The previous prime is 2905370947. The next prime is 2905370983. The reversal of 2905370960 is 690735092.

It can be written as a sum of positive squares in 8 ways, for example, as 193877776 + 2711493184 = 13924^2 + 52072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2905370960² = 16882360830422643200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717306 + ... + 2718374.

It is an arithmetic number, because the mean of its divisors is an integer number (86245317).

Almost surely, 2^2905370960 is an apocalyptic number.

2905370960 is a gapful number since it is divisible by the number (20) 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 2905370960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449812680).

2905370960 is an abundant number, since it is smaller than the sum of its proper divisors (3994254400).

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

2905370960 is a wasteful number, since it uses less digits than its factorization.

2905370960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 2905370960 is about 53901.4931147552. The cubic root of 2905370960 is about 1426.9229743985.

The spelling of 2905370960 in words is "two billion, nine hundred five million, three hundred seventy thousand, nine hundred sixty".