2245765507100 has 144 divisors (see below), whose sum is σ = 5116650638400. Its totient is φ = 854396928000.

The previous prime is 2245765507099. The next prime is 2245765507123. The reversal of 2245765507100 is 17055675422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290109230 + ... + 290116970.

It is an arithmetic number, because the mean of its divisors is an integer number (35532296100).

Almost surely, 2^{2245765507100} is an apocalyptic number.

2245765507100 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 2245765507100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558325319200).

2245765507100 is an abundant number, since it is smaller than the sum of its proper divisors (2870885131300).

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

2245765507100 is a wasteful number, since it uses less digits than its factorization.

2245765507100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 44.

The spelling of 2245765507100 in words is "two trillion, two hundred forty-five billion, seven hundred sixty-five million, five hundred seven thousand, one hundred".