2123034624 has 234 divisors, whose sum is σ = 6448610480. Its totient is φ = 698720256.

The previous prime is 2123034607. The next prime is 2123034631. The reversal of 2123034624 is 4264303212.

2123034624 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 34 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 17 ways as a sum of consecutive naturals, for example, 26873817 + ... + 26873895.

Almost surely, 2^2123034624 is an apocalyptic number.

2123034624 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 2123034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224305240).

2123034624 is an abundant number, since it is smaller than the sum of its proper divisors (4325575856).

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

2123034624 is an frugal number, since it uses more digits than its factorization.

2123034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2123034624 is about 46076.3998593640. The cubic root of 2123034624 is about 1285.2443173758.

Adding to 2123034624 its reverse (4264303212), we get a palindrome (6387337836).

The spelling of 2123034624 in words is "two billion, one hundred twenty-three million, thirty-four thousand, six hundred twenty-four".