2261681136 has 320 divisors, whose sum is σ = 7879495680. Its totient is φ = 611712000.

The previous prime is 2261681119. The next prime is 2261681143. The reversal of 2261681136 is 6311861622.

It is a happy number.

2261681136 is a `hidden beast` number, since 2 + 2 + 616 + 8 + 1 + 1 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2261681136.

It is a congruent number.

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, 1914466 + ... + 1915646.

It is an arithmetic number, because the mean of its divisors is an integer number (24623424).

Almost surely, 2^2261681136 is an apocalyptic number.

2261681136 is a gapful number since it is divisible by the number (26) 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 2261681136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939747840).

2261681136 is an abundant number, since it is smaller than the sum of its proper divisors (5617814544).

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

2261681136 is a wasteful number, since it uses less digits than its factorization.

2261681136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2261681136 is about 47557.1354898505. The cubic root of 2261681136 is about 1312.6344312918.

The spelling of 2261681136 in words is "two billion, two hundred sixty-one million, six hundred eighty-one thousand, one hundred thirty-six".