2535975216 has 240 divisors, whose sum is σ = 7759607520. Its totient is φ = 802669824.

The previous prime is 2535975203. The next prime is 2535975241. The reversal of 2535975216 is 6125795352.

2535975216 is a `hidden beast` number, since 2 + 5 + 3 + 597 + 52 + 1 + 6 = 666.

2535975216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18510700 + ... + 18510836.

It is an arithmetic number, because the mean of its divisors is an integer number (32331698).

Almost surely, 2^2535975216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2535975216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879803760).

2535975216 is an abundant number, since it is smaller than the sum of its proper divisors (5223632304).

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

2535975216 is an equidigital number, since it uses as much as digits as its factorization.

2535975216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 165 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 2535975216 is about 50358.4671728598. The cubic root of 2535975216 is about 1363.6879458597.

The spelling of 2535975216 in words is "two billion, five hundred thirty-five million, nine hundred seventy-five thousand, two hundred sixteen".