2558331216 has 480 divisors, whose sum is σ = 9134082048. Its totient is φ = 677445120.

The previous prime is 2558331211. The next prime is 2558331221. The reversal of 2558331216 is 6121338552.

2558331216 is a `hidden beast` number, since 25 + 583 + 31 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2558331211) and next prime (2558331221).

It is a super-2 number, since 2×2558331216² = 13090117221520077312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558331211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38184015 + ... + 38184081.

Almost surely, 2^2558331216 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 2558331216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567041024).

2558331216 is an abundant number, since it is smaller than the sum of its proper divisors (6575750832).

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

2558331216 is a wasteful number, since it uses less digits than its factorization.

2558331216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2558331216 is about 50579.9487544224. The cubic root of 2558331216 is about 1367.6834447603.

Adding to 2558331216 its reverse (6121338552), we get a palindrome (8679669768).

It can be divided in two parts, 255833 and 1216, that added together give a square (257049 = 507²).

The spelling of 2558331216 in words is "two billion, five hundred fifty-eight million, three hundred thirty-one thousand, two hundred sixteen".