2535297408 has 320 divisors, whose sum is σ = 8715426720. Its totient is φ = 716636160.

The previous prime is 2535297403. The next prime is 2535297449. The reversal of 2535297408 is 8047925352.

2535297408 is a `hidden beast` number, since 2 + 53 + 529 + 74 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535297403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13136160 + ... + 13136352.

Almost surely, 2^2535297408 is an apocalyptic number.

2535297408 is a gapful number since it is divisible by the number (28) 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 2535297408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357713360).

2535297408 is an abundant number, since it is smaller than the sum of its proper divisors (6180129312).

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

2535297408 is a wasteful number, since it uses less digits than its factorization.

2535297408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2535297408 is about 50351.7368915909. The cubic root of 2535297408 is about 1363.5664408656.

It can be divided in two parts, 25352 and 97408, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 2535297408 in words is "two billion, five hundred thirty-five million, two hundred ninety-seven thousand, four hundred eight".