2349579960 has 480 divisors, whose sum is σ = 9788977440. Its totient is φ = 494926848.

The previous prime is 2349579949. The next prime is 2349579977. The reversal of 2349579960 is 699759432.

2349579960 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 579 + 9 + 60 = 666.

2349579960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2349579897 and 2349579906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3832614 + ... + 3833226.

It is an arithmetic number, because the mean of its divisors is an integer number (20393703).

Almost surely, 2^2349579960 is an apocalyptic number.

2349579960 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 2349579960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894488720).

2349579960 is an abundant number, since it is smaller than the sum of its proper divisors (7439397480).

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

2349579960 is a wasteful number, since it uses less digits than its factorization.

2349579960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 2349579960 is about 48472.4659987503. The cubic root of 2349579960 is about 1329.4236785436.

The spelling of 2349579960 in words is "two billion, three hundred forty-nine million, five hundred seventy-nine thousand, nine hundred sixty".