2365840 has 20 divisors (see below), whose sum is σ = 5500764. Its totient is φ = 946304.

The previous prime is 2365829. The next prime is 2365859. The reversal of 2365840 is 485632.

It can be written as a sum of positive squares in 2 ways, for example, as 559504 + 1806336 = 748^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2365799 and 2365808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14707 + ... + 14866.

2^2365840 is an apocalyptic number.

2365840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2365840 is an abundant number, since it is smaller than the sum of its proper divisors (3134924).

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

2365840 is a wasteful number, since it uses less digits than its factorization.

2365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29586 (or 29580 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2365840 is about 1538.1287332340. The cubic root of 2365840 is about 133.2483347147.

Adding to 2365840 its product of nonzero digits (5760), we get a square (2371600 = 1540²).

The spelling of 2365840 in words is "two million, three hundred sixty-five thousand, eight hundred forty".