2288916045 has 48 divisors (see below), whose sum is σ = 4296447792. Its totient is φ = 1120573440.

The previous prime is 2288916043. The next prime is 2288916053. The reversal of 2288916045 is 5406198822.

It can be written as a sum of positive squares in 8 ways, for example, as 1134207684 + 1154708361 = 33678^2 + 33981^2 .

It is not a de Polignac number, because 2288916045 - 2¹ = 2288916043 is a prime.

It is a super-3 number, since 3×2288916045³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (2288916041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95077 + ... + 116693.

It is an arithmetic number, because the mean of its divisors is an integer number (89509329).

Almost surely, 2^2288916045 is an apocalyptic number.

It is an amenable number.

2288916045 is a deficient number, since it is larger than the sum of its proper divisors (2007531747).

2288916045 is a wasteful number, since it uses less digits than its factorization.

2288916045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21822 (or 21819 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2288916045 is about 47842.6174555699. The cubic root of 2288916045 is about 1317.8822878533.

The spelling of 2288916045 in words is "two billion, two hundred eighty-eight million, nine hundred sixteen thousand, forty-five".