2023014400 has 180 divisors, whose sum is σ = 5485195800. Its totient is φ = 734003200.

The previous prime is 2023014347. The next prime is 2023014449. The reversal of 2023014400 is 44103202.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4505376 + ... + 4505824.

It is an arithmetic number, because the mean of its divisors is an integer number (30473310).

Almost surely, 2^2023014400 is an apocalyptic number.

2023014400 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 2023014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742597900).

2023014400 is an abundant number, since it is smaller than the sum of its proper divisors (3462181400).

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

2023014400 is an equidigital number, since it uses as much as digits as its factorization.

2023014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2023014400 is about 44977.9323668841. The cubic root of 2023014400 is about 1264.7353516373.

Adding to 2023014400 its reverse (44103202), we get a palindrome (2067117602).

The spelling of 2023014400 in words is "two billion, twenty-three million, fourteen thousand, four hundred".