2261094912 has 100 divisors (see below), whose sum is σ = 6748896726. Its totient is φ = 753684480.

The previous prime is 2261094859. The next prime is 2261094923. The reversal of 2261094912 is 2194901622.

2261094912 is a `hidden beast` number, since 22 + 610 + 9 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2005606656 + 255488256 = 44784^2 + 15984^2 .

It is a super-2 number, since 2×2261094912² = 10225100402144575488, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14212 + ... + 68732.

Almost surely, 2^2261094912 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 2261094912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374448363).

2261094912 is an abundant number, since it is smaller than the sum of its proper divisors (4487801814).

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

2261094912 is an frugal number, since it uses more digits than its factorization.

2261094912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54551 (or 54526 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2261094912 is about 47550.9717250868. The cubic root of 2261094912 is about 1312.5210106024.

The spelling of 2261094912 in words is "two billion, two hundred sixty-one million, ninety-four thousand, nine hundred twelve".