2352640 has 40 divisors (see below), whose sum is σ = 5646960. Its totient is φ = 940032.

The previous prime is 2352631. The next prime is 2352641. The reversal of 2352640 is 462532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 2¹⁹ + 3¹¹ + 5⁷ + 2¹⁹ + 6³ + 4¹⁰ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2101 + ... + 3019.

It is an arithmetic number, because the mean of its divisors is an integer number (141174).

2^2352640 is an apocalyptic number.

2352640 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 2352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823480).

2352640 is an abundant number, since it is smaller than the sum of its proper divisors (3294320).

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

2352640 is an frugal number, since it uses more digits than its factorization.

2352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2352640 is about 1533.8318030345. The cubic root of 2352640 is about 133.0000565323. Note that the first 4 decimals are identical.

It can be divided in two parts, 2352 and 640, that added together give a palindrome (2992).

The spelling of 2352640 in words is "two million, three hundred fifty-two thousand, six hundred forty".