2345780304 has 320 divisors, whose sum is σ = 8313753600. Its totient is φ = 618444288.

The previous prime is 2345780291. The next prime is 2345780341. The reversal of 2345780304 is 4030875432.

It is a happy number.

2345780304 is a `hidden beast` number, since 2 + 345 + 7 + 8 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2016427 + ... + 2017589.

It is an arithmetic number, because the mean of its divisors is an integer number (25980480).

Almost surely, 2^2345780304 is an apocalyptic number.

2345780304 is a gapful number since it is divisible by the number (24) 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 2345780304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156876800).

2345780304 is an abundant number, since it is smaller than the sum of its proper divisors (5967973296).

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

2345780304 is a wasteful number, since it uses less digits than its factorization.

2345780304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2345780304 is about 48433.2561779610. The cubic root of 2345780304 is about 1328.7066598783.

The spelling of 2345780304 in words is "two billion, three hundred forty-five million, seven hundred eighty thousand, three hundred four".