2053329264 has 100 divisors (see below), whose sum is σ = 6791950704. Its totient is φ = 586662912.

The previous prime is 2053329263. The next prime is 2053329277. The reversal of 2053329264 is 4629233502.

It is a happy number.

2053329264 is a `hidden beast` number, since 20 + 53 + 329 + 264 = 666.

It is a super-2 number, since 2×2053329264² = 8432322132797563392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053329263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104097 + ... + 122240.

Almost surely, 2^2053329264 is an apocalyptic number.

2053329264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2053329264 is an abundant number, since it is smaller than the sum of its proper divisors (4738621440).

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

2053329264 is a wasteful number, since it uses less digits than its factorization.

2053329264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226364 (or 226349 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2053329264 is about 45313.6763461099. The cubic root of 2053329264 is about 1271.0214082413.

The spelling of 2053329264 in words is "two billion, fifty-three million, three hundred twenty-nine thousand, two hundred sixty-four".