2535235560 has 480 divisors, whose sum is σ = 10024396200. Its totient is φ = 551992320.

The previous prime is 2535235543. The next prime is 2535235561. The reversal of 2535235560 is 655325352.

2535235560 is a `hidden beast` number, since 2 + 53 + 52 + 3 + 556 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2091964644 + 443270916 = 45738^2 + 21054^2 .

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 (2535235561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68519862 + ... + 68519898.

Almost surely, 2^2535235560 is an apocalyptic number.

2535235560 is a gapful number since it is divisible by the number (20) 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 2535235560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012198100).

2535235560 is an abundant number, since it is smaller than the sum of its proper divisors (7489160640).

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

2535235560 is a wasteful number, since it uses less digits than its factorization.

2535235560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 2535235560 is about 50351.1227282967. The cubic root of 2535235560 is about 1363.5553528117. Note that the first 3 decimals are identical.

The spelling of 2535235560 in words is "two billion, five hundred thirty-five million, two hundred thirty-five thousand, five hundred sixty".