2141416564 has 48 divisors (see below), whose sum is σ = 4544870400. Its totient is φ = 862953696.

The previous prime is 2141416561. The next prime is 2141416567. The reversal of 2141416564 is 4656141412.

It is an interprime number because it is at equal distance from previous prime (2141416561) and next prime (2141416567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141416561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9817 + ... + 66175.

It is an arithmetic number, because the mean of its divisors is an integer number (94684800).

Almost surely, 2^2141416564 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 2141416564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272435200).

2141416564 is an abundant number, since it is smaller than the sum of its proper divisors (2403453836).

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

2141416564 is a wasteful number, since it uses less digits than its factorization.

2141416564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56452 (or 56450 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2141416564 is about 46275.4423425644. The cubic root of 2141416564 is about 1288.9430205708.

Adding to 2141416564 its reverse (4656141412), we get a palindrome (6797557976).

The spelling of 2141416564 in words is "two billion, one hundred forty-one million, four hundred sixteen thousand, five hundred sixty-four".