2540582541 has 48 divisors (see below), whose sum is σ = 4315584000. Its totient is φ = 1409819904.

The previous prime is 2540582533. The next prime is 2540582543. The reversal of 2540582541 is 1452850452.

2540582541 is a `hidden beast` number, since 2 + 540 + 58 + 25 + 41 = 666.

It is not a de Polignac number, because 2540582541 - 2³ = 2540582533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2540582496 and 2540582505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540582543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421385 + ... + 2422433.

It is an arithmetic number, because the mean of its divisors is an integer number (89908000).

Almost surely, 2^2540582541 is an apocalyptic number.

2540582541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2540582541 is a deficient number, since it is larger than the sum of its proper divisors (1775001459).

2540582541 is a wasteful number, since it uses less digits than its factorization.

2540582541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 2540582541 is about 50404.1917006909. The cubic root of 2540582541 is about 1364.5132894242.

The spelling of 2540582541 in words is "two billion, five hundred forty million, five hundred eighty-two thousand, five hundred forty-one".