2241577728 has 216 divisors, whose sum is σ = 7070384048. Its totient is φ = 678813696.

The previous prime is 2241577727. The next prime is 2241577733. The reversal of 2241577728 is 8277751422.

2241577728 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 577 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2241577727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006226 + ... + 2007342.

Almost surely, 2^2241577728 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 2241577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535192024).

2241577728 is an abundant number, since it is smaller than the sum of its proper divisors (4828806320).

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

2241577728 is a wasteful number, since it uses less digits than its factorization.

2241577728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1202 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 2241577728 is about 47345.3031250197. The cubic root of 2241577728 is about 1308.7336456059.

The spelling of 2241577728 in words is "two billion, two hundred forty-one million, five hundred seventy-seven thousand, seven hundred twenty-eight".