2153117264 has 40 divisors (see below), whose sum is σ = 4207755240. Its totient is φ = 1067286528.

The previous prime is 2153117251. The next prime is 2153117279. The reversal of 2153117264 is 4627113512.

It can be written as a sum of positive squares in 4 ways, for example, as 5721664 + 2147395600 = 2392^2 + 46340^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2153117264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039622 + ... + 1041690.

It is an arithmetic number, because the mean of its divisors is an integer number (105193881).

Almost surely, 2^2153117264 is an apocalyptic number.

It is an amenable number.

2153117264 is a deficient number, since it is larger than the sum of its proper divisors (2054637976).

2153117264 is a wasteful number, since it uses less digits than its factorization.

2153117264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2601 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 2153117264 is about 46401.6946242268. The cubic root of 2153117264 is about 1291.2863526172.

The spelling of 2153117264 in words is "two billion, one hundred fifty-three million, one hundred seventeen thousand, two hundred sixty-four".