2245939920 has 320 divisors, whose sum is σ = 8945856000. Its totient is φ = 507285504.

The previous prime is 2245939919. The next prime is 2245939931. The reversal of 2245939920 is 299395422.

It is a super-2 number, since 2×2245939920² = 10088492248499212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1344846 + ... + 1346514.

It is an arithmetic number, because the mean of its divisors is an integer number (27955800).

Almost surely, 2^2245939920 is an apocalyptic number.

2245939920 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 2245939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472928000).

2245939920 is an abundant number, since it is smaller than the sum of its proper divisors (6699916080).

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

2245939920 is a wasteful number, since it uses less digits than its factorization.

2245939920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2245939920 is about 47391.3485775621. The cubic root of 2245939920 is about 1309.5820433056.

The spelling of 2245939920 in words is "two billion, two hundred forty-five million, nine hundred thirty-nine thousand, nine hundred twenty".