2245077216 has 96 divisors (see below), whose sum is σ = 6577562880. Its totient is φ = 744997248.

The previous prime is 2245077203. The next prime is 2245077217. The reversal of 2245077216 is 6127705422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245077217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190405 + ... + 201851.

It is an arithmetic number, because the mean of its divisors is an integer number (68516280).

Almost surely, 2^2245077216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288781440).

2245077216 is an abundant number, since it is smaller than the sum of its proper divisors (4332485664).

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

2245077216 is a wasteful number, since it uses less digits than its factorization.

2245077216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693 (or 11679 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2245077216 is about 47382.2457889028. The cubic root of 2245077216 is about 1309.4143441990.

The spelling of 2245077216 in words is "two billion, two hundred forty-five million, seventy-seven thousand, two hundred sixteen".