2123113440 has 384 divisors, whose sum is σ = 8095997952. Its totient is φ = 457205760.

The previous prime is 2123113381. The next prime is 2123113441. The reversal of 2123113440 is 443113212.

It is a super-2 number, since 2×2123113440² = 9015221358217267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123113441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6414075 + ... + 6414405.

It is an arithmetic number, because the mean of its divisors is an integer number (21083328).

Almost surely, 2^2123113440 is an apocalyptic number.

2123113440 is a gapful number since it is divisible by the number (20) 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 2123113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047998976).

2123113440 is an abundant number, since it is smaller than the sum of its proper divisors (5972884512).

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

2123113440 is a wasteful number, since it uses less digits than its factorization.

2123113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2123113440 is about 46077.2551265806. The cubic root of 2123113440 is about 1285.2602217424.

Adding to 2123113440 its reverse (443113212), we get a palindrome (2566226652).

The spelling of 2123113440 in words is "two billion, one hundred twenty-three million, one hundred thirteen thousand, four hundred forty".