2535413364 has 144 divisors (see below), whose sum is σ = 7196454720. Its totient is φ = 746104320.

The previous prime is 2535413351. The next prime is 2535413383. The reversal of 2535413364 is 4633145352.

2535413364 is a `hidden beast` number, since 2 + 53 + 541 + 3 + 3 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2245152 + ... + 2246280.

It is an arithmetic number, because the mean of its divisors is an integer number (49975380).

Almost surely, 2^2535413364 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 2535413364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598227360).

2535413364 is an abundant number, since it is smaller than the sum of its proper divisors (4661041356).

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

2535413364 is a wasteful number, since it uses less digits than its factorization.

2535413364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1305 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2535413364 is about 50352.8883382076. Note that the first 3 decimals coincide. The cubic root of 2535413364 is about 1363.5872288672.

The spelling of 2535413364 in words is "two billion, five hundred thirty-five million, four hundred thirteen thousand, three hundred sixty-four".