2042314560 has 1120 divisors, whose sum is σ = 9293961600. Its totient is φ = 418037760.

The previous prime is 2042314553. The next prime is 2042314577. The reversal of 2042314560 is 654132402.

2042314560 is a `hidden beast` number, since 204 + 2 + 3 + 1 + 456 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70424626 + ... + 70424654.

It is an arithmetic number, because the mean of its divisors is an integer number (8298180).

Almost surely, 2^2042314560 is an apocalyptic number.

2042314560 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 2042314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646980800).

2042314560 is an abundant number, since it is smaller than the sum of its proper divisors (7251647040).

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

2042314560 is a wasteful number, since it uses less digits than its factorization.

2042314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2042314560 is about 45191.9745087554. The cubic root of 2042314560 is about 1268.7446126912.

Adding to 2042314560 its reverse (654132402), we get a palindrome (2696446962).

The spelling of 2042314560 in words is "two billion, forty-two million, three hundred fourteen thousand, five hundred sixty".