2346085152 has 144 divisors (see below), whose sum is σ = 6934931640. Its totient is φ = 751435776.

The previous prime is 2346085151. The next prime is 2346085207. The reversal of 2346085152 is 2515806432.

2346085152 is a `hidden beast` number, since 2 + 34 + 608 + 5 + 15 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2164482576 + 181602576 = 46524^2 + 13476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2346085151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2145918 + ... + 2147010.

Almost surely, 2^2346085152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2346085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467465820).

2346085152 is an abundant number, since it is smaller than the sum of its proper divisors (4588846488).

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

2346085152 is a wasteful number, since it uses less digits than its factorization.

2346085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2346085152 is about 48436.4031695170. The cubic root of 2346085152 is about 1328.7642151435.

The spelling of 2346085152 in words is "two billion, three hundred forty-six million, eighty-five thousand, one hundred fifty-two".