2123968000 has 320 divisors, whose sum is σ = 6618433536. Its totient is φ = 660480000.

The previous prime is 2123967983. The next prime is 2123968013. The reversal of 2123968000 is 8693212.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2123968000² = 9022480130048000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927785 + ... + 4928215.

Almost surely, 2^2123968000 is an apocalyptic number.

2123968000 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 2123968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309216768).

2123968000 is an abundant number, since it is smaller than the sum of its proper divisors (4494465536).

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

2123968000 is an equidigital number, since it uses as much as digits as its factorization.

2123968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2123968000 is about 46086.5273154747. The cubic root of 2123968000 is about 1285.4326390717.

The spelling of 2123968000 in words is "two billion, one hundred twenty-three million, nine hundred sixty-eight thousand".