2558747541 has 32 divisors (see below), whose sum is σ = 3985459200. Its totient is φ = 1430009280.

The previous prime is 2558747519. The next prime is 2558747561. The reversal of 2558747541 is 1457478552.

It is not a de Polignac number, because 2558747541 - 2⁵ = 2558747509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558747501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223720 + ... + 234878.

It is an arithmetic number, because the mean of its divisors is an integer number (124545600).

Almost surely, 2^2558747541 is an apocalyptic number.

2558747541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2558747541 is a deficient number, since it is larger than the sum of its proper divisors (1426711659).

2558747541 is a wasteful number, since it uses less digits than its factorization.

2558747541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409.

The product of its digits is 1568000, while the sum is 48.

The square root of 2558747541 is about 50584.0641012562. The cubic root of 2558747541 is about 1367.7576298284.

The spelling of 2558747541 in words is "two billion, five hundred fifty-eight million, seven hundred forty-seven thousand, five hundred forty-one".