2122114416 has 40 divisors (see below), whose sum is σ = 5485727760. Its totient is φ = 706907136.

The previous prime is 2122114387. The next prime is 2122114439. The reversal of 2122114416 is 6144112212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63720 + ... + 91128.

It is an arithmetic number, because the mean of its divisors is an integer number (137143194).

Almost surely, 2^2122114416 is an apocalyptic number.

It is an amenable number.

2122114416 is an abundant number, since it is smaller than the sum of its proper divisors (3363613344).

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

2122114416 is a wasteful number, since it uses less digits than its factorization.

2122114416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29033 (or 29027 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2122114416 is about 46066.4131010870. The cubic root of 2122114416 is about 1285.0585984673.

Adding to 2122114416 its reverse (6144112212), we get a palindrome (8266226628).

The spelling of 2122114416 in words is "two billion, one hundred twenty-two million, one hundred fourteen thousand, four hundred sixteen".