2023764800 has 42 divisors (see below), whose sum is σ = 4979730198. Its totient is φ = 809505280.

The previous prime is 2023764793. The next prime is 2023764817. The reversal of 2023764800 is 84673202.

It can be written as a sum of positive squares in 3 ways, for example, as 6677056 + 2017087744 = 2584^2 + 44912^2 .

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 630827 + ... + 634026.

Almost surely, 2^2023764800 is an apocalyptic number.

2023764800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023764800 is an abundant number, since it is smaller than the sum of its proper divisors (2955965398).

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

2023764800 is a wasteful number, since it uses less digits than its factorization.

2023764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264875 (or 1264860 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2023764800 is about 44986.2734620239. The cubic root of 2023764800 is about 1264.8917090821.

The spelling of 2023764800 in words is "two billion, twenty-three million, seven hundred sixty-four thousand, eight hundred".