2306346240 has 144 divisors (see below), whose sum is σ = 8035667136. Its totient is φ = 559104000.

The previous prime is 2306346239. The next prime is 2306346247. The reversal of 2306346240 is 426436032.

It is a happy number.

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 = 2306346198 and 2306346207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306346247) 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, 14940 + ... + 69540.

It is an arithmetic number, because the mean of its divisors is an integer number (55803244).

Almost surely, 2^2306346240 is an apocalyptic number.

2306346240 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 2306346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017833568).

2306346240 is an abundant number, since it is smaller than the sum of its proper divisors (5729320896).

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

2306346240 is a wasteful number, since it uses less digits than its factorization.

2306346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54636 (or 54622 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2306346240 is about 48024.4337811494. The cubic root of 2306346240 is about 1321.2190758056.

The spelling of 2306346240 in words is "two billion, three hundred six million, three hundred forty-six thousand, two hundred forty".