2535892380 has 768 divisors, whose sum is σ = 10528358400. Its totient is φ = 492687360.

The previous prime is 2535892369. The next prime is 2535892409. The reversal of 2535892380 is 832985352.

2535892380 is a `hidden beast` number, since 2 + 535 + 89 + 2 + 38 + 0 = 666.

2535892380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37849107 + ... + 37849173.

It is an arithmetic number, because the mean of its divisors is an integer number (13708800).

Almost surely, 2^2535892380 is an apocalyptic number.

2535892380 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 2535892380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264179200).

2535892380 is an abundant number, since it is smaller than the sum of its proper divisors (7992466020).

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

2535892380 is a wasteful number, since it uses less digits than its factorization.

2535892380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2535892380 is about 50357.6447026665. The cubic root of 2535892380 is about 1363.6730977013.

The spelling of 2535892380 in words is "two billion, five hundred thirty-five million, eight hundred ninety-two thousand, three hundred eighty".