2395640 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 829440.

The previous prime is 2395621. The next prime is 2395643. The reversal of 2395640 is 465932.

2395640 = 132² + 133² + ... + 211².

2395640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2395643) 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, 8705 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

2^2395640 is an apocalyptic number.

2395640 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 2395640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2395640 is an abundant number, since it is smaller than the sum of its proper divisors (3773320).

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

2395640 is a wasteful number, since it uses less digits than its factorization.

2395640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2395640 is about 1547.7855148566. The cubic root of 2395640 is about 133.8054651025.

The spelling of 2395640 in words is "two million, three hundred ninety-five thousand, six hundred forty".