2123807040810 has 1152 divisors, whose sum is σ = 7569541324800. Its totient is φ = 417109118976.

The previous prime is 2123807040779. The next prime is 2123807040847. The reversal of 2123807040810 is 180407083212.

2123807040810 is a `hidden beast` number, since 2 + 1 + 238 + 0 + 7 + 0 + 408 + 10 = 666.

It is a super-2 number, since 2×2123807040810² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10672397091 + ... + 10672397289.

It is an arithmetic number, because the mean of its divisors is an integer number (6570782400).

Almost surely, 2^{2123807040810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123807040810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784770662400).

2123807040810 is an abundant number, since it is smaller than the sum of its proper divisors (5445734283990).

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

2123807040810 is a wasteful number, since it uses less digits than its factorization.

2123807040810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2123807040810 in words is "two trillion, one hundred twenty-three billion, eight hundred seven million, forty thousand, eight hundred ten".