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2421209268 = 2232831077573
BaseRepresentation
bin1001000001010000…
…1011100010110100
320020201221011201100
42100110023202310
514424312144033
61040130530100
7113666640102
oct22024134264
96221834640
102421209268
1110327893a5
12576a36930
132c780360a
1418d7c0c72
15e2865513
hex9050b8b4

2421209268 has 72 divisors (see below), whose sum is σ = 6252730848. Its totient is φ = 789789888.

The previous prime is 2421209267. The next prime is 2421209317. The reversal of 2421209268 is 8629021242.

2421209268 is a `hidden beast` number, since 2 + 421 + 209 + 26 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421209267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315930 + ... + 323502.

It is an arithmetic number, because the mean of its divisors is an integer number (86843484).

Almost surely, 22421209268 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 2421209268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126365424).

2421209268 is an abundant number, since it is smaller than the sum of its proper divisors (3831521580).

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

2421209268 is a wasteful number, since it uses less digits than its factorization.

2421209268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2421209268 is about 49205.7849038098. The cubic root of 2421209268 is about 1342.7982787601.

The spelling of 2421209268 in words is "two billion, four hundred twenty-one million, two hundred nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 107 166 214 249 321 332 428 498 642 747 963 996 1284 1494 1926 2988 3852 7573 8881 15146 17762 22719 26643 30292 35524 45438 53286 68157 79929 90876 106572 136314 159858 272628 319716 628559 810311 1257118 1620622 1885677 2430933 2514236 3241244 3771354 4861866 5657031 7292799 7542708 9723732 11314062 14585598 22628124 29171196 67255813 134511626 201767439 269023252 403534878 605302317 807069756 1210604634 2421209268