2306029440 has 512 divisors, whose sum is σ = 8907978240. Its totient is φ = 499875840.

The previous prime is 2306029433. The next prime is 2306029459. The reversal of 2306029440 is 449206032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2306029398 and 2306029407.

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, 10158607 + ... + 10158833.

It is an arithmetic number, because the mean of its divisors is an integer number (17398395).

Almost surely, 2^2306029440 is an apocalyptic number.

2306029440 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 2306029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453989120).

2306029440 is an abundant number, since it is smaller than the sum of its proper divisors (6601948800).

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

2306029440 is a wasteful number, since it uses less digits than its factorization.

2306029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2306029440 is about 48021.1353468449. The cubic root of 2306029440 is about 1321.1585787645.

It can be divided in two parts, 230602 and 9440, that added together give a palindrome (240042).

The spelling of 2306029440 in words is "two billion, three hundred six million, twenty-nine thousand, four hundred forty".