2306440640 has 112 divisors (see below), whose sum is σ = 6336133632. Its totient is φ = 783307776.

The previous prime is 2306440637. The next prime is 2306440649. The reversal of 2306440640 is 460446032.

It is a happy number.

2306440640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306440649) 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, 234869 + ... + 244491.

Almost surely, 2^2306440640 is an apocalyptic number.

2306440640 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 2306440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168066816).

2306440640 is an abundant number, since it is smaller than the sum of its proper divisors (4029692992).

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

2306440640 is a wasteful number, since it uses less digits than its factorization.

2306440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754 (or 9744 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 2306440640 is about 48025.4166041274. The cubic root of 2306440640 is about 1321.2371016303.

Adding to 2306440640 its reverse (460446032), we get a palindrome (2766886672).

The spelling of 2306440640 in words is "two billion, three hundred six million, four hundred forty thousand, six hundred forty".