2023963200 has 840 divisors, whose sum is σ = 8963509632. Its totient is φ = 437944320.

The previous prime is 2023963187. The next prime is 2023963211. The reversal of 2023963200 is 23693202.

2023963200 is a `hidden beast` number, since 2 + 0 + 23 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20865552 + ... + 20865648.

Almost surely, 2^2023963200 is an apocalyptic number.

2023963200 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 2023963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481754816).

2023963200 is an abundant number, since it is smaller than the sum of its proper divisors (6939546432).

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

2023963200 is a wasteful number, since it uses less digits than its factorization.

2023963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2023963200 is about 44988.4785250624. The cubic root of 2023963200 is about 1264.9330423297.

The spelling of 2023963200 in words is "two billion, twenty-three million, nine hundred sixty-three thousand, two hundred".