2262277472 has 288 divisors, whose sum is σ = 5972551200. Its totient is φ = 834527232.

The previous prime is 2262277471. The next prime is 2262277481. The reversal of 2262277472 is 2747722622.

It is a happy number.

2262277472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262277471) 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, 25418804 + ... + 25418892.

It is an arithmetic number, because the mean of its divisors is an integer number (20738025).

Almost surely, 2^2262277472 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 2262277472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986275600).

2262277472 is an abundant number, since it is smaller than the sum of its proper divisors (3710273728).

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

2262277472 is a wasteful number, since it uses less digits than its factorization.

2262277472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its digits is 263424, while the sum is 41.

The square root of 2262277472 is about 47563.4047561778. The cubic root of 2262277472 is about 1312.7497883104.

The spelling of 2262277472 in words is "two billion, two hundred sixty-two million, two hundred seventy-seven thousand, four hundred seventy-two".