2123989054560 has 384 divisors, whose sum is σ = 7634675865600. Its totient is φ = 551239741440.

The previous prime is 2123989054519. The next prime is 2123989054597. The reversal of 2123989054560 is 654509893212.

2123989054560 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 9 + 8 + 90 + 545 + 6 + 0 = 666.

It is a super-3 number, since 3×2123989054560³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2123989054497 and 2123989054506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36314940 + ... + 36373380.

It is an arithmetic number, because the mean of its divisors is an integer number (19881968400).

Almost surely, 2^{2123989054560} is an apocalyptic number.

2123989054560 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 2123989054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817337932800).

2123989054560 is an abundant number, since it is smaller than the sum of its proper divisors (5510686811040).

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

2123989054560 is a wasteful number, since it uses less digits than its factorization.

2123989054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58691 (or 58677 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2123989054560 in words is "two trillion, one hundred twenty-three billion, nine hundred eighty-nine million, fifty-four thousand, five hundred sixty".