2023568640 has 216 divisors, whose sum is σ = 7038125640. Its totient is φ = 536788992.

The previous prime is 2023568587. The next prime is 2023568669. The reversal of 2023568640 is 468653202.

2023568640 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 5 + 6 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 2009908224 = 3696^2 + 44832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2023568595 and 2023568604.

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 23 ways as a sum of consecutive naturals, for example, 3098554 + ... + 3099206.

It is an arithmetic number, because the mean of its divisors is an integer number (32583915).

Almost surely, 2^2023568640 is an apocalyptic number.

2023568640 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 2023568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519062820).

2023568640 is an abundant number, since it is smaller than the sum of its proper divisors (5014557000).

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

2023568640 is a wasteful number, since it uses less digits than its factorization.

2023568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2023568640 is about 44984.0931885928. The cubic root of 2023568640 is about 1264.8508398443.

The spelling of 2023568640 in words is "two billion, twenty-three million, five hundred sixty-eight thousand, six hundred forty".