2535869952 has 360 divisors, whose sum is σ = 9296639352. Its totient is φ = 658022400.

The previous prime is 2535869929. The next prime is 2535869953. The reversal of 2535869952 is 2599685352.

2535869952 is a `hidden beast` number, since 2 + 5 + 3 + 586 + 9 + 9 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535869953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483202 + ... + 2484222.

Almost surely, 2^2535869952 is an apocalyptic number.

2535869952 is a gapful number since it is divisible by the number (22) 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 2535869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648319676).

2535869952 is an abundant number, since it is smaller than the sum of its proper divisors (6760769400).

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

2535869952 is a wasteful number, since it uses less digits than its factorization.

2535869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1044 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 2535869952 is about 50357.4220150317. The cubic root of 2535869952 is about 1363.6690774794.

The spelling of 2535869952 in words is "two billion, five hundred thirty-five million, eight hundred sixty-nine thousand, nine hundred fifty-two".