2123031534624 has 432 divisors, whose sum is σ = 8250880397760. Its totient is φ = 509018065920.

The previous prime is 2123031534619. The next prime is 2123031534709. The reversal of 2123031534624 is 4264351303212.

2123031534624 is a `hidden beast` number, since 2 + 1 + 2 + 30 + 31 + 534 + 62 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1491997 + ... + 2544035.

It is an arithmetic number, because the mean of its divisors is an integer number (19099260180).

Almost surely, 2^{2123031534624} is an apocalyptic number.

2123031534624 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 2123031534624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125440198880).

2123031534624 is an abundant number, since it is smaller than the sum of its proper divisors (6127848863136).

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

2123031534624 is a wasteful number, since it uses less digits than its factorization.

2123031534624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052093 (or 1052075 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2123031534624 its reverse (4264351303212), we get a palindrome (6387382837836).

The spelling of 2123031534624 in words is "two trillion, one hundred twenty-three billion, thirty-one million, five hundred thirty-four thousand, six hundred twenty-four".