2277338112 has 396 divisors, whose sum is σ = 8041516680. Its totient is φ = 634798080.

The previous prime is 2277338099. The next prime is 2277338131. The reversal of 2277338112 is 2118337722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2277338112 is a `hidden beast` number, since 2 + 277 + 3 + 381 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55544812 + ... + 55544852.

Almost surely, 2^2277338112 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 2277338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020758340).

2277338112 is an abundant number, since it is smaller than the sum of its proper divisors (5764178568).

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

2277338112 is an equidigital number, since it uses as much as digits as its factorization.

2277338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 53 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 2277338112 is about 47721.4638501377. The cubic root of 2277338112 is about 1315.6564668420.

The spelling of 2277338112 in words is "two billion, two hundred seventy-seven million, three hundred thirty-eight thousand, one hundred twelve".