2123438892300 has 1728 divisors, whose sum is σ = 8497856102400. Its totient is φ = 448813094400.

The previous prime is 2123438892293. The next prime is 2123438892313. The reversal of 2123438892300 is 32988343212.

2123438892300 is a `hidden beast` number, since 2 + 1 + 2 + 34 + 388 + 9 + 230 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 35990489671 + ... + 35990489729.

It is an arithmetic number, because the mean of its divisors is an integer number (4917740800).

Almost surely, 2^{2123438892300} is an apocalyptic number.

2123438892300 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 2123438892300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248928051200).

2123438892300 is an abundant number, since it is smaller than the sum of its proper divisors (6374417210100).

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

2123438892300 is a wasteful number, since it uses less digits than its factorization.

2123438892300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2123438892300 in words is "two trillion, one hundred twenty-three billion, four hundred thirty-eight million, eight hundred ninety-two thousand, three hundred".