2023968400 has 60 divisors (see below), whose sum is σ = 4867657200. Its totient is φ = 808743040.

The previous prime is 2023968343. The next prime is 2023968431. The reversal of 2023968400 is 48693202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501591 + ... + 505609.

It is an arithmetic number, because the mean of its divisors is an integer number (81127620).

Almost surely, 2^2023968400 is an apocalyptic number.

2023968400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023968400 is an abundant number, since it is smaller than the sum of its proper divisors (2843688800).

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

2023968400 is a wasteful number, since it uses less digits than its factorization.

2023968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2023968400 is about 44988.5363175998. The cubic root of 2023968400 is about 1264.9341256244.

The spelling of 2023968400 in words is "two billion, twenty-three million, nine hundred sixty-eight thousand, four hundred".