2202640440 has 384 divisors, whose sum is σ = 8944750080. Its totient is φ = 422231040.

The previous prime is 2202640439. The next prime is 2202640457. The reversal of 2202640440 is 440462022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2202640440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320487 + ... + 1322153.

It is an arithmetic number, because the mean of its divisors is an integer number (23293620).

Almost surely, 2^2202640440 is an apocalyptic number.

2202640440 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 2202640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472375040).

2202640440 is an abundant number, since it is smaller than the sum of its proper divisors (6742109640).

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

2202640440 is a wasteful number, since it uses less digits than its factorization.

2202640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2202640440 is about 46932.2963427105. The cubic root of 2202640440 is about 1301.1115621109. Note that the first 3 decimals are identical.

The spelling of 2202640440 in words is "two billion, two hundred two million, six hundred forty thousand, four hundred forty".