2140416576 has 280 divisors, whose sum is σ = 6904085760. Its totient is φ = 653184000.

The previous prime is 2140416571. The next prime is 2140416581. The reversal of 2140416576 is 6756140412.

2140416576 is a `hidden beast` number, since 2 + 1 + 40 + 41 + 6 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (2140416571) and next prime (2140416581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2140416576.

It is not an unprimeable number, because it can be changed into a prime (2140416571) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053026 + ... + 3053726.

Almost surely, 2^2140416576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452042880).

2140416576 is an abundant number, since it is smaller than the sum of its proper divisors (4763669184).

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

2140416576 is a wasteful number, since it uses less digits than its factorization.

2140416576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2140416576 is about 46264.6363435400. The cubic root of 2140416576 is about 1288.7423546099.

Adding to 2140416576 its reverse (6756140412), we get a palindrome (8896556988).

The spelling of 2140416576 in words is "two billion, one hundred forty million, four hundred sixteen thousand, five hundred seventy-six".