2261786784 has 96 divisors (see below), whose sum is σ = 6148929024. Its totient is φ = 727203840.

The previous prime is 2261786783. The next prime is 2261786789. The reversal of 2261786784 is 4876871622.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2261786783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049452 + ... + 1051604.

It is an arithmetic number, because the mean of its divisors is an integer number (64051344).

Almost surely, 2^2261786784 is an apocalyptic number.

2261786784 is a gapful number since it is divisible by the number (24) 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 2261786784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074464512).

2261786784 is an abundant number, since it is smaller than the sum of its proper divisors (3887142240).

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

2261786784 is a wasteful number, since it uses less digits than its factorization.

2261786784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2542 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 2261786784 is about 47558.2462250239. The cubic root of 2261786784 is about 1312.6548696346.

The spelling of 2261786784 in words is "two billion, two hundred sixty-one million, seven hundred eighty-six thousand, seven hundred eighty-four".