2023282560 has 256 divisors, whose sum is σ = 7021647360. Its totient is φ = 492576768.

The previous prime is 2023282543. The next prime is 2023282567. The reversal of 2023282560 is 652823202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023282567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2570487 + ... + 2571273.

It is an arithmetic number, because the mean of its divisors is an integer number (27428310).

Almost surely, 2^2023282560 is an apocalyptic number.

2023282560 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 2023282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510823680).

2023282560 is an abundant number, since it is smaller than the sum of its proper divisors (4998364800).

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

2023282560 is a wasteful number, since it uses less digits than its factorization.

2023282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2023282560 is about 44980.9132855259. The cubic root of 2023282560 is about 1264.7912313594.

The spelling of 2023282560 in words is "two billion, twenty-three million, two hundred eighty-two thousand, five hundred sixty".