2291735264 has 192 divisors, whose sum is σ = 5852528640. Its totient is φ = 859023360.

The previous prime is 2291735219. The next prime is 2291735273. The reversal of 2291735264 is 4625371922.

It is a super-2 number, since 2×2291735264² = 10504101040522299392, 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 31 ways as a sum of consecutive naturals, for example, 4784177 + ... + 4784655.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920).

Almost surely, 2^2291735264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291735264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

2291735264 is an abundant number, since it is smaller than the sum of its proper divisors (3560793376).

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

2291735264 is a wasteful number, since it uses less digits than its factorization.

2291735264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 2291735264 is about 47872.0718582348. The cubic root of 2291735264 is about 1318.4231369361.

The spelling of 2291735264 in words is "two billion, two hundred ninety-one million, seven hundred thirty-five thousand, two hundred sixty-four".