2542535640 has 96 divisors (see below), whose sum is σ = 8749334880. Its totient is φ = 638125056.

The previous prime is 2542535627. The next prime is 2542535651. The reversal of 2542535640 is 465352452.

2542535640 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 5 + 3 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2542535595 and 2542535604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201604 + ... + 213843.

It is an arithmetic number, because the mean of its divisors is an integer number (91138905).

Almost surely, 2^2542535640 is an apocalyptic number.

2542535640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542535640 is an abundant number, since it is smaller than the sum of its proper divisors (6206799240).

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

2542535640 is a wasteful number, since it uses less digits than its factorization.

2542535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415481 (or 415474 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2542535640 is about 50423.5623493620. The cubic root of 2542535640 is about 1364.8628610765.

The spelling of 2542535640 in words is "two billion, five hundred forty-two million, five hundred thirty-five thousand, six hundred forty".