2245985820 has 288 divisors, whose sum is σ = 8013358080. Its totient is φ = 523480320.

The previous prime is 2245985789. The next prime is 2245985827. The reversal of 2245985820 is 285895422.

2245985820 is a `hidden beast` number, since 2 + 2 + 4 + 598 + 58 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245985827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1199485 + ... + 1201355.

It is an arithmetic number, because the mean of its divisors is an integer number (27824160).

Almost surely, 2^2245985820 is an apocalyptic number.

2245985820 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 2245985820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006679040).

2245985820 is an abundant number, since it is smaller than the sum of its proper divisors (5767372260).

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

2245985820 is a wasteful number, since it uses less digits than its factorization.

2245985820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2245985820 is about 47391.8328406910. The cubic root of 2245985820 is about 1309.5909645009.

The spelling of 2245985820 in words is "two billion, two hundred forty-five million, nine hundred eighty-five thousand, eight hundred twenty".