2306782944 has 72 divisors (see below), whose sum is σ = 6671148120. Its totient is φ = 755889408.

The previous prime is 2306782937. The next prime is 2306782949. The reversal of 2306782944 is 4492876032.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2306782944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306782949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50887 + ... + 84870.

It is an arithmetic number, because the mean of its divisors is an integer number (92654835).

Almost surely, 2^2306782944 is an apocalyptic number.

2306782944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2306782944 is an abundant number, since it is smaller than the sum of its proper divisors (4364365176).

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

2306782944 is a wasteful number, since it uses less digits than its factorization.

2306782944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135832 (or 135821 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2306782944 is about 48028.9802515106. The cubic root of 2306782944 is about 1321.3024609788.

The spelling of 2306782944 in words is "two billion, three hundred six million, seven hundred eighty-two thousand, nine hundred forty-four".