2901768264 has 48 divisors (see below), whose sum is σ = 7900139520. Its totient is φ = 962187360.

The previous prime is 2901768257. The next prime is 2901768283. The reversal of 2901768264 is 4628671092.

It is a happy number.

2901768264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91752 + ... + 119255.

It is an arithmetic number, because the mean of its divisors is an integer number (164586240).

Almost surely, 2^2901768264 is an apocalyptic number.

2901768264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2901768264 is an abundant number, since it is smaller than the sum of its proper divisors (4998371256).

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

2901768264 is a wasteful number, since it uses less digits than its factorization.

2901768264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211210 (or 211203 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2901768264 is about 53868.0634884901. The cubic root of 2901768264 is about 1426.3329297191.

The spelling of 2901768264 in words is "two billion, nine hundred one million, seven hundred sixty-eight thousand, two hundred sixty-four".