2242561640 has 256 divisors, whose sum is σ = 6158592000. Its totient is φ = 725345280.

The previous prime is 2242561639. The next prime is 2242561693. The reversal of 2242561640 is 461652422.

It is a junction number, because it is equal to n+sod(n) for n = 2242561597 and 2242561606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20573906 + ... + 20574014.

It is an arithmetic number, because the mean of its divisors is an integer number (24057000).

Almost surely, 2^2242561640 is an apocalyptic number.

2242561640 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 2242561640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079296000).

2242561640 is an abundant number, since it is smaller than the sum of its proper divisors (3916030360).

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

2242561640 is a wasteful number, since it uses less digits than its factorization.

2242561640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2242561640 is about 47355.6927940031. The cubic root of 2242561640 is about 1308.9251015858.

The spelling of 2242561640 in words is "two billion, two hundred forty-two million, five hundred sixty-one thousand, six hundred forty".