2349940320 has 576 divisors, whose sum is σ = 10038712320. Its totient is φ = 487378944.

The previous prime is 2349940319. The next prime is 2349940343. The reversal of 2349940320 is 230499432.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10352047 + ... + 10352273.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^2349940320 is an apocalyptic number.

2349940320 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 2349940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2349940320 is an abundant number, since it is smaller than the sum of its proper divisors (7688772000).

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

2349940320 is a wasteful number, since it uses less digits than its factorization.

2349940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2349940320 is about 48476.1830180554. The cubic root of 2349940320 is about 1329.4916405673.

The spelling of 2349940320 in words is "two billion, three hundred forty-nine million, nine hundred forty thousand, three hundred twenty".