2345616 has 120 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 615168.

The previous prime is 2345599. The next prime is 2345617. The reversal of 2345616 is 6165432.

2345616 is a `hidden beast` number, since 2 + 3 + 45 + 616 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2345616.

It is not an unprimeable number, because it can be changed into a prime (2345617) 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, 13015 + ... + 13193.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

2^2345616 is an apocalyptic number.

2345616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2345616 is the 819-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2345616 is an abundant number, since it is smaller than the sum of its proper divisors (5778864).

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

2345616 is a wasteful number, since it uses less digits than its factorization.

2345616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2345616 is about 1531.5404010342. The cubic root of 2345616 is about 132.8675637235.

The spelling of 2345616 in words is "two million, three hundred forty-five thousand, six hundred sixteen".