2142014240 has 96 divisors (see below), whose sum is σ = 5266296000. Its totient is φ = 822320128.

The previous prime is 2142014227. The next prime is 2142014261. The reversal of 2142014240 is 424102412.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 829271 + ... + 831849.

It is an arithmetic number, because the mean of its divisors is an integer number (54857250).

Almost surely, 2^2142014240 is an apocalyptic number.

2142014240 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 2142014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633148000).

2142014240 is an abundant number, since it is smaller than the sum of its proper divisors (3124281760).

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

2142014240 is a wasteful number, since it uses less digits than its factorization.

2142014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2142014240 is about 46281.8997017192. The cubic root of 2142014240 is about 1289.0629254135.

Adding to 2142014240 its reverse (424102412), we get a palindrome (2566116652).

The spelling of 2142014240 in words is "two billion, one hundred forty-two million, fourteen thousand, two hundred forty".