2153607264 has 120 divisors (see below), whose sum is σ = 6428750328. Its totient is φ = 707097600.

The previous prime is 2153607259. The next prime is 2153607283. The reversal of 2153607264 is 4627063512.

2153607264 is a `hidden beast` number, since 21 + 5 + 3 + 607 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 167464 + ... + 179864.

Almost surely, 2^2153607264 is an apocalyptic number.

2153607264 is a gapful number since it is divisible by the number (24) 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 2153607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214375164).

2153607264 is an abundant number, since it is smaller than the sum of its proper divisors (4275143064).

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

2153607264 is a wasteful number, since it uses less digits than its factorization.

2153607264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2153607264 is about 46406.9743034385. The cubic root of 2153607264 is about 1291.3843008852.

The spelling of 2153607264 in words is "two billion, one hundred fifty-three million, six hundred seven thousand, two hundred sixty-four".