2205140 has 48 divisors (see below), whose sum is σ = 5577600. Its totient is φ = 715392.

The previous prime is 2205139. The next prime is 2205149. The reversal of 2205140 is 415022.

2205140 = 168² + 169² + ... + 224².

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2246 + ... + 3074.

It is an arithmetic number, because the mean of its divisors is an integer number (116200).

2^2205140 is an apocalyptic number.

2205140 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 2205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788800).

2205140 is an abundant number, since it is smaller than the sum of its proper divisors (3372460).

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

2205140 is a wasteful number, since it uses less digits than its factorization.

2205140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2205140 is about 1484.9713801956. The cubic root of 2205140 is about 130.1603543905.

The spelling of 2205140 in words is "two million, two hundred five thousand, one hundred forty".