2185440 has 96 divisors (see below), whose sum is σ = 7166880. Its totient is φ = 559104.

The previous prime is 2185439. The next prime is 2185471. The reversal of 2185440 is 445812.

2185440 = T₉₆ + T₉₇ + ... + T₂₄₀.

2185440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2185440² = 9552295987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2185440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13842 + ... + 13998.

It is an arithmetic number, because the mean of its divisors is an integer number (74655).

2^2185440 is an apocalyptic number.

2185440 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 2185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583440).

2185440 is an abundant number, since it is smaller than the sum of its proper divisors (4981440).

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

2185440 is a wasteful number, since it uses less digits than its factorization.

2185440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2185440 is about 1478.3233746376. The cubic root of 2185440 is about 129.7715910327.

The spelling of 2185440 in words is "two million, one hundred eighty-five thousand, four hundred forty".