2053035264 has 288 divisors, whose sum is σ = 6563823616. Its totient is φ = 557383680.

The previous prime is 2053035263. The next prime is 2053035287. The reversal of 2053035264 is 4625303502.

It is a super-3 number, since 3×2053035264³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053035263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16165569 + ... + 16165695.

Almost surely, 2^2053035264 is an apocalyptic number.

2053035264 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 2053035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281911808).

2053035264 is an abundant number, since it is smaller than the sum of its proper divisors (4510788352).

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

2053035264 is a wasteful number, since it uses less digits than its factorization.

2053035264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2053035264 is about 45310.4321762660. The cubic root of 2053035264 is about 1270.9607428402.

Adding to 2053035264 its reverse (4625303502), we get a palindrome (6678338766).

The spelling of 2053035264 in words is "two billion, fifty-three million, thirty-five thousand, two hundred sixty-four".