2241177120 has 384 divisors, whose sum is σ = 9655994880. Its totient is φ = 472780800.

The previous prime is 2241177119. The next prime is 2241177199. The reversal of 2241177120 is 217711422.

It is a happy number.

It is a super-2 number, since 2×2241177120² = 10045749766422988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390270 + ... + 395970.

It is an arithmetic number, because the mean of its divisors is an integer number (25145820).

Almost surely, 2^2241177120 is an apocalyptic number.

2241177120 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 2241177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827997440).

2241177120 is an abundant number, since it is smaller than the sum of its proper divisors (7414817760).

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

2241177120 is a wasteful number, since it uses less digits than its factorization.

2241177120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2241177120 is about 47341.0722312032. The cubic root of 2241177120 is about 1308.6556766530.

Adding to 2241177120 its reverse (217711422), we get a palindrome (2458888542).

The spelling of 2241177120 in words is "two billion, two hundred forty-one million, one hundred seventy-seven thousand, one hundred twenty".