2163052416 has 256 divisors, whose sum is σ = 7087449600. Its totient is φ = 570654720.

The previous prime is 2163052387. The next prime is 2163052433. The reversal of 2163052416 is 6142503612.

It is a congruent number.

It is an unprimeable number.

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, 2093436 + ... + 2094468.

It is an arithmetic number, because the mean of its divisors is an integer number (27685350).

Almost surely, 2^2163052416 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 2163052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543724800).

2163052416 is an abundant number, since it is smaller than the sum of its proper divisors (4924397184).

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

2163052416 is a wasteful number, since it uses less digits than its factorization.

2163052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2163052416 is about 46508.6273287011. The cubic root of 2163052416 is about 1293.2694376861.

The spelling of 2163052416 in words is "two billion, one hundred sixty-three million, fifty-two thousand, four hundred sixteen".