2300768440 has 128 divisors (see below), whose sum is σ = 5641954560. Its totient is φ = 841089024.

The previous prime is 2300768417. The next prime is 2300768443. The reversal of 2300768440 is 448670032.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2300768396 and 2300768405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300768443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6168094 + ... + 6168466.

It is an arithmetic number, because the mean of its divisors is an integer number (44077770).

Almost surely, 2^2300768440 is an apocalyptic number.

2300768440 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 2300768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820977280).

2300768440 is an abundant number, since it is smaller than the sum of its proper divisors (3341186120).

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

2300768440 is a wasteful number, since it uses less digits than its factorization.

2300768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2300768440 is about 47966.3261048832. The cubic root of 2300768440 is about 1320.1531120219.

The spelling of 2300768440 in words is "two billion, three hundred million, seven hundred sixty-eight thousand, four hundred forty".