2245145760 has 288 divisors, whose sum is σ = 9001819008. Its totient is φ = 502364160.

The previous prime is 2245145737. The next prime is 2245145779. The reversal of 2245145760 is 675415422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 200469 + ... + 211371.

It is an arithmetic number, because the mean of its divisors is an integer number (31256316).

Almost surely, 2^2245145760 is an apocalyptic number.

2245145760 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 2245145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500909504).

2245145760 is an abundant number, since it is smaller than the sum of its proper divisors (6756673248).

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

2245145760 is a wasteful number, since it uses less digits than its factorization.

2245145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10937 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2245145760 is about 47382.9690922804. The cubic root of 2245145760 is about 1309.4276698852.

The spelling of 2245145760 in words is "two billion, two hundred forty-five million, one hundred forty-five thousand, seven hundred sixty".