2122627104 has 288 divisors, whose sum is σ = 6984169920. Its totient is φ = 605988864.

The previous prime is 2122627099. The next prime is 2122627153. The reversal of 2122627104 is 4017262212.

2122627104 is a `hidden beast` number, since 2 + 1 + 22 + 627 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 3769927 + ... + 3770489.

It is an arithmetic number, because the mean of its divisors is an integer number (24250590).

Almost surely, 2^2122627104 is an apocalyptic number.

2122627104 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 2122627104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492084960).

2122627104 is an abundant number, since it is smaller than the sum of its proper divisors (4861542816).

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

2122627104 is a wasteful number, since it uses less digits than its factorization.

2122627104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2122627104 is about 46071.9774266310. The cubic root of 2122627104 is about 1285.1620771909.

Adding to 2122627104 its reverse (4017262212), we get a palindrome (6139889316).

The spelling of 2122627104 in words is "two billion, one hundred twenty-two million, six hundred twenty-seven thousand, one hundred four".