2801014965 has 128 divisors (see below), whose sum is σ = 5839257600. Its totient is φ = 1247581440.

The previous prime is 2801014927. The next prime is 2801014981. The reversal of 2801014965 is 5694101082.

2801014965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2801014965 - 2⁶ = 2801014901 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7313164 + ... + 7313546.

It is an arithmetic number, because the mean of its divisors is an integer number (45619200).

Almost surely, 2^2801014965 is an apocalyptic number.

It is an amenable number.

2801014965 is an abundant number, since it is smaller than the sum of its proper divisors (3038242635).

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

2801014965 is a wasteful number, since it uses less digits than its factorization.

2801014965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2801014965 is about 52924.6158701223. The cubic root of 2801014965 is about 1409.6300296861.

The spelling of 2801014965 in words is "two billion, eight hundred one million, fourteen thousand, nine hundred sixty-five".