2116574144 has 56 divisors (see below), whose sum is σ = 4259519040. Its totient is φ = 1043398656.

The previous prime is 2116574101. The next prime is 2116574177. The reversal of 2116574144 is 4414756112.

It is a super-3 number, since 3×2116574144³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2277872 + ... + 2278800.

It is an arithmetic number, because the mean of its divisors is an integer number (76062840).

Almost surely, 2^2116574144 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 2116574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129759520).

2116574144 is an abundant number, since it is smaller than the sum of its proper divisors (2142944896).

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

2116574144 is an equidigital number, since it uses as much as digits as its factorization.

2116574144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1395 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 2116574144 is about 46006.2402723804. The cubic root of 2116574144 is about 1283.9393093146.

The spelling of 2116574144 in words is "two billion, one hundred sixteen million, five hundred seventy-four thousand, one hundred forty-four".