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2421241410 = 235725927917
BaseRepresentation
bin1001000001010001…
…0011011001000010
320020201222210210210
42100110103121002
514424314211120
61040131334550
7114000132600
oct22024233102
96221883723
102421241410
111032800565
12576a51456
132c7815133
1418d7cc870
15e286ece0
hex90513642

2421241410 has 96 divisors (see below), whose sum is σ = 6874528320. Its totient is φ = 544027008.

The previous prime is 2421241393. The next prime is 2421241423. The reversal of 2421241410 is 141421242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 72772 + ... + 100688.

It is an arithmetic number, because the mean of its divisors is an integer number (71609670).

Almost surely, 22421241410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421241410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437264160).

2421241410 is an abundant number, since it is smaller than the sum of its proper divisors (4453286910).

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

2421241410 is a wasteful number, since it uses less digits than its factorization.

2421241410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28000 (or 27993 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2421241410 is about 49206.1115106650. Note that the first 3 decimals coincide. The cubic root of 2421241410 is about 1342.8042206989.

Adding to 2421241410 its reverse (141421242), we get a palindrome (2562662652).

The spelling of 2421241410 in words is "two billion, four hundred twenty-one million, two hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 59 70 98 105 118 147 177 210 245 294 295 354 413 490 590 735 826 885 1239 1470 1770 2065 2478 2891 4130 5782 6195 8673 12390 14455 17346 27917 28910 43365 55834 83751 86730 139585 167502 195419 279170 390838 418755 586257 837510 977095 1172514 1367933 1647103 1954190 2735866 2931285 3294206 4103799 4941309 5862570 6839665 8207598 8235515 9882618 11529721 13679330 16471030 20518995 23059442 24706545 34589163 41037990 49413090 57648605 69178326 80708047 115297210 161416094 172945815 242124141 345891630 403540235 484248282 807080470 1210620705 2421241410