2202560640 has 512 divisors, whose sum is σ = 9047808000. Its totient is φ = 496005120.

The previous prime is 2202560629. The next prime is 2202560677. The reversal of 2202560640 is 460652022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15845691 + ... + 15845829.

It is an arithmetic number, because the mean of its divisors is an integer number (17671500).

Almost surely, 2^2202560640 is an apocalyptic number.

2202560640 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 2202560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523904000).

2202560640 is an abundant number, since it is smaller than the sum of its proper divisors (6845247360).

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

2202560640 is a wasteful number, since it uses less digits than its factorization.

2202560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

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

The square root of 2202560640 is about 46931.4461741805. The cubic root of 2202560640 is about 1301.0958491580.

The spelling of 2202560640 in words is "two billion, two hundred two million, five hundred sixty thousand, six hundred forty".