2352840 has 64 divisors (see below), whose sum is σ = 8069760. Its totient is φ = 537600.

The previous prime is 2352811. The next prime is 2352841. The reversal of 2352840 is 482532.

2352840 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 (24).

It is a d-powerful number, because it can be written as 2⁵ + 3¹¹ + 5⁷ + 2⁷ + 8⁷ + 4⁴ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2352840.

It is not an unprimeable number, because it can be changed into a prime (2352841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (126090).

2^2352840 is an apocalyptic number.

2352840 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 2352840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034880).

2352840 is an abundant number, since it is smaller than the sum of its proper divisors (5716920).

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

2352840 is a wasteful number, since it uses less digits than its factorization.

2352840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2352840 is about 1533.8969978457. The cubic root of 2352840 is about 133.0038252428.

The spelling of 2352840 in words is "two million, three hundred fifty-two thousand, eight hundred forty".