2023612800 has 192 divisors, whose sum is σ = 7271588160. Its totient is φ = 490547200.

The previous prime is 2023612781. The next prime is 2023612813. The reversal of 2023612800 is 82163202.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96019 + ... + 115181.

It is an arithmetic number, because the mean of its divisors is an integer number (37872855).

Almost surely, 2^2023612800 is an apocalyptic number.

2023612800 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 2023612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635794080).

2023612800 is an abundant number, since it is smaller than the sum of its proper divisors (5247975360).

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

2023612800 is a wasteful number, since it uses less digits than its factorization.

2023612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19201 (or 19184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2023612800 is about 44984.5840260861. The cubic root of 2023612800 is about 1264.8600406534.

The spelling of 2023612800 in words is "two billion, twenty-three million, six hundred twelve thousand, eight hundred".