2136240 has 160 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 532224.

The previous prime is 2136221. The next prime is 2136247. The reversal of 2136240 is 426312.

It is a happy number.

2136240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 2¹⁵ + 1 + 3⁷ + 6² + 2²¹ + 4⁶ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49659 + ... + 49701.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2^2136240 is an apocalyptic number.

2136240 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 2136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2136240 is an abundant number, since it is smaller than the sum of its proper divisors (5720400).

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

2136240 is a wasteful number, since it uses less digits than its factorization.

2136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2136240 is about 1461.5881772921. The cubic root of 2136240 is about 128.7903571604.

The spelling of 2136240 in words is "two million, one hundred thirty-six thousand, two hundred forty".