2261094120 has 288 divisors, whose sum is σ = 7950458880. Its totient is φ = 556680960.

The previous prime is 2261094119. The next prime is 2261094131. The reversal of 2261094120 is 214901622.

2261094120 is a `hidden beast` number, since 2 + 2 + 610 + 9 + 41 + 2 + 0 = 666.

It is a super-2 number, since 2×2261094120² = 10225093238997148800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5903449 + ... + 5903831.

It is an arithmetic number, because the mean of its divisors is an integer number (27605760).

Almost surely, 2^2261094120 is an apocalyptic number.

2261094120 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 2261094120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975229440).

2261094120 is an abundant number, since it is smaller than the sum of its proper divisors (5689364760).

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

2261094120 is a wasteful number, since it uses less digits than its factorization.

2261094120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2261094120 is about 47550.9633971805. The cubic root of 2261094120 is about 1312.5208573556.

Adding to 2261094120 its reverse (214901622), we get a palindrome (2475995742).

The spelling of 2261094120 in words is "two billion, two hundred sixty-one million, ninety-four thousand, one hundred twenty".