2558496240 has 80 divisors (see below), whose sum is σ = 8812605600. Its totient is φ = 682265088.

The previous prime is 2558496233. The next prime is 2558496263. The reversal of 2558496240 is 426948552.

2558496240 is a `hidden beast` number, since 2 + 5 + 584 + 9 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 590085 + ... + 594404.

It is an arithmetic number, because the mean of its divisors is an integer number (110157570).

Almost surely, 2^2558496240 is an apocalyptic number.

2558496240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558496240 is an abundant number, since it is smaller than the sum of its proper divisors (6254109360).

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

2558496240 is a wasteful number, since it uses less digits than its factorization.

2558496240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184511 (or 1184499 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2558496240 is about 50581.5800464952. The cubic root of 2558496240 is about 1367.7128513957.

The spelling of 2558496240 in words is "two billion, five hundred fifty-eight million, four hundred ninety-six thousand, two hundred forty".