2346870240 has 768 divisors, whose sum is σ = 10059033600. Its totient is φ = 503193600.

The previous prime is 2346870203. The next prime is 2346870257. The reversal of 2346870240 is 420786432.

2346870240 is a `hidden beast` number, since 2 + 346 + 8 + 70 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2346870195 and 2346870204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17914975 + ... + 17915105.

It is an arithmetic number, because the mean of its divisors is an integer number (13097700).

Almost surely, 2^2346870240 is an apocalyptic number.

2346870240 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 2346870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029516800).

2346870240 is an abundant number, since it is smaller than the sum of its proper divisors (7712163360).

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

2346870240 is a wasteful number, since it uses less digits than its factorization.

2346870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2346870240 is about 48444.5068093380. The cubic root of 2346870240 is about 1328.9124167119.

The spelling of 2346870240 in words is "two billion, three hundred forty-six million, eight hundred seventy thousand, two hundred forty".