2023887200 has 72 divisors (see below), whose sum is σ = 4956135912. Its totient is φ = 807045120.

The previous prime is 2023887199. The next prime is 2023887209. The reversal of 2023887200 is 27883202.

It is a super-2 number, since 2×2023887200² = 8192238796647680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023887209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265847 + ... + 273353.

It is an arithmetic number, because the mean of its divisors is an integer number (68835221).

Almost surely, 2^2023887200 is an apocalyptic number.

2023887200 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 2023887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478067956).

2023887200 is an abundant number, since it is smaller than the sum of its proper divisors (2932248712).

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

2023887200 is a wasteful number, since it uses less digits than its factorization.

2023887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2023887200 is about 44987.6338564277. The cubic root of 2023887200 is about 1264.9172093484.

The spelling of 2023887200 in words is "two billion, twenty-three million, eight hundred eighty-seven thousand, two hundred".