2558697984 has 200 divisors, whose sum is σ = 7724059200. Its totient is φ = 843208704.

The previous prime is 2558697983. The next prime is 2558698007. The reversal of 2558697984 is 4897968552.

2558697984 is a `hidden beast` number, since 2 + 558 + 6 + 9 + 79 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2558697983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4271317 + ... + 4271915.

It is an arithmetic number, because the mean of its divisors is an integer number (38620296).

Almost surely, 2^2558697984 is an apocalyptic number.

2558697984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862029600).

2558697984 is an abundant number, since it is smaller than the sum of its proper divisors (5165361216).

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

2558697984 is an equidigital number, since it uses as much as digits as its factorization.

2558697984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 707 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 2558697984 is about 50583.5742509364. The cubic root of 2558697984 is about 1367.7487996746.

The spelling of 2558697984 in words is "two billion, five hundred fifty-eight million, six hundred ninety-seven thousand, nine hundred eighty-four".