2168432640 has 768 divisors, whose sum is σ = 9057484800. Its totient is φ = 486604800.

The previous prime is 2168432621. The next prime is 2168432647. The reversal of 2168432640 is 462348612.

2168432640 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 4 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2168432640² = 9404200228434739200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2168432595 and 2168432604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168432647) 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 63 ways as a sum of consecutive naturals, for example, 69949425 + ... + 69949455.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^2168432640 is an apocalyptic number.

2168432640 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 2168432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2168432640 is an abundant number, since it is smaller than the sum of its proper divisors (6889052160).

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

2168432640 is a wasteful number, since it uses less digits than its factorization.

2168432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2168432640 is about 46566.4325453432. The cubic root of 2168432640 is about 1294.3408122804.

The spelling of 2168432640 in words is "two billion, one hundred sixty-eight million, four hundred thirty-two thousand, six hundred forty".