2163013632 has 480 divisors, whose sum is σ = 7491884400. Its totient is φ = 615776256.

The previous prime is 2163013571. The next prime is 2163013639. The reversal of 2163013632 is 2363103612.

It is a happy number.

2163013632 is a `hidden beast` number, since 2 + 16 + 3 + 0 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2163013596 and 2163013605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163013639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36661219 + ... + 36661277.

Almost surely, 2^2163013632 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 2163013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745942200).

2163013632 is an abundant number, since it is smaller than the sum of its proper divisors (5328870768).

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

2163013632 is a wasteful number, since it uses less digits than its factorization.

2163013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2163013632 is about 46508.2103719333. The cubic root of 2163013632 is about 1293.2617081058.

The spelling of 2163013632 in words is "two billion, one hundred sixty-three million, thirteen thousand, six hundred thirty-two".