2140406340 has 96 divisors (see below), whose sum is σ = 6172153344. Its totient is φ = 553812480.

The previous prime is 2140406327. The next prime is 2140406341. The reversal of 2140406340 is 436040412.

It is a self number, because there is not a number n which added to its sum of digits gives 2140406340.

It is not an unprimeable number, because it can be changed into a prime (2140406341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955702 + ... + 957938.

It is an arithmetic number, because the mean of its divisors is an integer number (64293264).

Almost surely, 2^2140406340 is an apocalyptic number.

2140406340 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 2140406340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086076672).

2140406340 is an abundant number, since it is smaller than the sum of its proper divisors (4031747004).

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

2140406340 is a wasteful number, since it uses less digits than its factorization.

2140406340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2140406340 is about 46264.5257189566. The cubic root of 2140406340 is about 1288.7403002453.

Adding to 2140406340 its reverse (436040412), we get a palindrome (2576446752).

The spelling of 2140406340 in words is "two billion, one hundred forty million, four hundred six thousand, three hundred forty".