2612112384 has 352 divisors, whose sum is σ = 8463116800. Its totient is φ = 715309056.

The previous prime is 2612112379. The next prime is 2612112401. The reversal of 2612112384 is 4832112162.

It is a super-2 number, since 2×2612112384² = 13646262213292326912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38986719 + ... + 38986785.

Almost surely, 2^2612112384 is an apocalyptic number.

2612112384 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 2612112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231558400).

2612112384 is an abundant number, since it is smaller than the sum of its proper divisors (5851004416).

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

2612112384 is an equidigital number, since it uses as much as digits as its factorization.

2612112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2612112384 is about 51108.8288263388. The cubic root of 2612112384 is about 1377.2008626212.

The spelling of 2612112384 in words is "two billion, six hundred twelve million, one hundred twelve thousand, three hundred eighty-four".