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2668482684 = 2233712012939
BaseRepresentation
bin1001111100001101…
…1101000001111100
320212222012222002000
42133003131001330
520431112421214
61120442502300
7123061504620
oct23703350174
96788188060
102668482684
11114a31a59a
12625804990
13336accc4a
141b458b180
1510940b809
hex9f0dd07c

2668482684 has 96 divisors (see below), whose sum is σ = 7915891200. Its totient is φ = 761529600.

The previous prime is 2668482679. The next prime is 2668482689. The reversal of 2668482684 is 4862848662.

2668482684 is a `hidden beast` number, since 26 + 68 + 482 + 6 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (2668482679) and next prime (2668482689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2668482684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668482689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906487 + ... + 909425.

It is an arithmetic number, because the mean of its divisors is an integer number (82457200).

Almost surely, 22668482684 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 2668482684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957945600).

2668482684 is an abundant number, since it is smaller than the sum of its proper divisors (5247408516).

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

2668482684 is a wasteful number, since it uses less digits than its factorization.

2668482684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4152 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 2668482684 is about 51657.3584690507. The cubic root of 2668482684 is about 1387.0372662936.

The spelling of 2668482684 in words is "two billion, six hundred sixty-eight million, four hundred eighty-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1201 2402 2939 3603 4804 5878 7206 8407 8817 10809 11756 14412 16814 17634 20573 21618 25221 26451 32427 33628 35268 41146 43236 50442 52902 61719 64854 75663 79353 82292 100884 105804 123438 129708 151326 158706 185157 226989 246876 302652 317412 370314 453978 555471 740628 907956 1110942 2221884 3529739 7059478 10589217 14118956 21178434 24708173 31767651 42356868 49416346 63535302 74124519 95302953 98832692 127070604 148249038 190605906 222373557 296498076 381211812 444747114 667120671 889494228 1334241342 2668482684