2347385040 has 480 divisors, whose sum is σ = 10587822336. Its totient is φ = 450109440.

The previous prime is 2347385017. The next prime is 2347385071. The reversal of 2347385040 is 405837432.

It is a happy number.

2347385040 is a `hidden beast` number, since 234 + 7 + 385 + 0 + 40 = 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 = 2347384986 and 2347385004.

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 95 ways as a sum of consecutive naturals, for example, 719092 + ... + 722348.

Almost surely, 2^2347385040 is an apocalyptic number.

2347385040 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 2347385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293911168).

2347385040 is an abundant number, since it is smaller than the sum of its proper divisors (8240437296).

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

2347385040 is a wasteful number, since it uses less digits than its factorization.

2347385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3298 counting only the distinct ones).

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

The square root of 2347385040 is about 48449.8198139064. The cubic root of 2347385040 is about 1329.0095778991.

It can be divided in two parts, 234738 and 5040, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 2347385040 in words is "two billion, three hundred forty-seven million, three hundred eighty-five thousand, forty".