2277247104 has 432 divisors, whose sum is σ = 7880557230. Its totient is φ = 628531200.

The previous prime is 2277247099. The next prime is 2277247117. The reversal of 2277247104 is 4017427722.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1674446400 + 602800704 = 40920^2 + 24552^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 73459569 + ... + 73459599.

Almost surely, 2^2277247104 is an apocalyptic number.

2277247104 is a gapful number since it is divisible by the number (24) 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 2277247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940278615).

2277247104 is an abundant number, since it is smaller than the sum of its proper divisors (5603310126).

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

2277247104 is a wasteful number, since it uses less digits than its factorization.

2277247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 2277247104 is about 47720.5103074139. The cubic root of 2277247104 is about 1315.6389409919.

The spelling of 2277247104 in words is "two billion, two hundred seventy-seven million, two hundred forty-seven thousand, one hundred four".