2288007760 has 20 divisors (see below), whose sum is σ = 5319618228. Its totient is φ = 915203072.

The previous prime is 2288007749. The next prime is 2288007767. The reversal of 2288007760 is 677008822.

It can be written as a sum of positive squares in 2 ways, for example, as 235192896 + 2052814864 = 15336^2 + 45308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288007767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14299969 + ... + 14300128.

Almost surely, 2^2288007760 is an apocalyptic number.

2288007760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2288007760 is an abundant number, since it is smaller than the sum of its proper divisors (3031610468).

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

2288007760 is a wasteful number, since it uses less digits than its factorization.

2288007760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28600110 (or 28600104 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 2288007760 is about 47833.1240878118. The cubic root of 2288007760 is about 1317.7079446186.

The spelling of 2288007760 in words is "two billion, two hundred eighty-eight million, seven thousand, seven hundred sixty".