2290766240 has 96 divisors (see below), whose sum is σ = 6193926144. Its totient is φ = 784281600.

The previous prime is 2290766189. The next prime is 2290766243. The reversal of 2290766240 is 426670922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2290766194 and 2290766203.

It is not an unprimeable number, because it can be changed into a prime (2290766243) 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, 1288232 + ... + 1290008.

It is an arithmetic number, because the mean of its divisors is an integer number (64520064).

Almost surely, 2^2290766240 is an apocalyptic number.

2290766240 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 2290766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096963072).

2290766240 is an abundant number, since it is smaller than the sum of its proper divisors (3903159904).

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

2290766240 is a wasteful number, since it uses less digits than its factorization.

2290766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 2290766240 is about 47861.9498140224. The cubic root of 2290766240 is about 1318.2372859504.

The spelling of 2290766240 in words is "two billion, two hundred ninety million, seven hundred sixty-six thousand, two hundred forty".