2242643760 has 400 divisors, whose sum is σ = 9092424000. Its totient is φ = 512096256.

The previous prime is 2242643737. The next prime is 2242643779. The reversal of 2242643760 is 673462422.

2242643760 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 643 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222136 + ... + 2223144.

It is an arithmetic number, because the mean of its divisors is an integer number (22731060).

Almost surely, 2^2242643760 is an apocalyptic number.

2242643760 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 2242643760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546212000).

2242643760 is an abundant number, since it is smaller than the sum of its proper divisors (6849780240).

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

2242643760 is a wasteful number, since it uses less digits than its factorization.

2242643760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2242643760 is about 47356.5598412723. The cubic root of 2242643760 is about 1308.9410784959.

The spelling of 2242643760 in words is "two billion, two hundred forty-two million, six hundred forty-three thousand, seven hundred sixty".