2558217984 has 72 divisors (see below), whose sum is σ = 7781262720. Its totient is φ = 730917888.

The previous prime is 2558217979. The next prime is 2558217997. The reversal of 2558217984 is 4897128552.

It is a super-2 number, since 2×2558217984² = 13088958507322048512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232554 + ... + 243305.

Almost surely, 2^2558217984 is an apocalyptic number.

2558217984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2558217984 is an abundant number, since it is smaller than the sum of its proper divisors (5223044736).

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

2558217984 is an equidigital number, since it uses as much as digits as its factorization.

2558217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475885 (or 475871 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The square root of 2558217984 is about 50578.8294051968. The cubic root of 2558217984 is about 1367.6632665264.

The spelling of 2558217984 in words is "two billion, five hundred fifty-eight million, two hundred seventeen thousand, nine hundred eighty-four".