2141640 has 80 divisors (see below), whose sum is σ = 7209180. Its totient is φ = 570240.

The previous prime is 2141617. The next prime is 2141647. The reversal of 2141640 is 461412.

2141640 is a `hidden beast` number, since 21 + 4 + 1 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 15876 = 1458^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2141647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2910 + ... + 3570.

2^2141640 is an apocalyptic number.

2141640 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 2141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604590).

2141640 is an abundant number, since it is smaller than the sum of its proper divisors (5067540).

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

2141640 is a wasteful number, since it uses less digits than its factorization.

2141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141640 is about 1463.4343169408. The cubic root of 2141640 is about 128.8987848569.

The spelling of 2141640 in words is "two million, one hundred forty-one thousand, six hundred forty".