2245108588800 has 1728 divisors, whose sum is σ = 9486472826880. Its totient is φ = 454164480000.

The previous prime is 2245108588787. The next prime is 2245108588817. The reversal of 2245108588800 is 88858015422.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14868268725 + ... + 14868268875.

It is an arithmetic number, because the mean of its divisors is an integer number (5489856960).

Almost surely, 2^{2245108588800} is an apocalyptic number.

2245108588800 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 2245108588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743236413440).

2245108588800 is an abundant number, since it is smaller than the sum of its proper divisors (7241364238080).

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

2245108588800 is a wasteful number, since it uses less digits than its factorization.

2245108588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 51.

The spelling of 2245108588800 in words is "two trillion, two hundred forty-five billion, one hundred eight million, five hundred eighty-eight thousand, eight hundred".