2558952072 has 96 divisors (see below), whose sum is σ = 7313592000. Its totient is φ = 806060160.

The previous prime is 2558952049. The next prime is 2558952073. The reversal of 2558952072 is 2702598552.

2558952072 is a `hidden beast` number, since 2 + 5 + 58 + 9 + 520 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (2558952073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598422 + ... + 602682.

It is an arithmetic number, because the mean of its divisors is an integer number (76183250).

Almost surely, 2^2558952072 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 2558952072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656796000).

2558952072 is an abundant number, since it is smaller than the sum of its proper divisors (4754639928).

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

2558952072 is a wasteful number, since it uses less digits than its factorization.

2558952072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2558952072 is about 50586.0857548793. The cubic root of 2558952072 is about 1367.7940723167.

The spelling of 2558952072 in words is "two billion, five hundred fifty-eight million, nine hundred fifty-two thousand, seventy-two".