2023257600 has 720 divisors, whose sum is σ = 8957780832. Its totient is φ = 424673280.

The previous prime is 2023257581. The next prime is 2023257611. The reversal of 2023257600 is 67523202.

2023257600 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 2 + 57 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10483104 + ... + 10483296.

Almost surely, 2^2023257600 is an apocalyptic number.

2023257600 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 2023257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478890416).

2023257600 is an abundant number, since it is smaller than the sum of its proper divisors (6934523232).

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

2023257600 is a wasteful number, since it uses less digits than its factorization.

2023257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2023257600 is about 44980.6358336562. The cubic root of 2023257600 is about 1264.7860303527.

The spelling of 2023257600 in words is "two billion, twenty-three million, two hundred fifty-seven thousand, six hundred".