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2541066424 = 2313243109401
BaseRepresentation
bin1001011101110101…
…1001100010111000
320120002110112211021
42113131121202320
520201003111144
61100051512224
7116653464631
oct22735314270
96502415737
102541066424
1110944028a6
125aabb8674
133165aa500
141a16a0888
15ed13d884
hex977598b8

2541066424 has 96 divisors (see below), whose sum is σ = 5340891600. Its totient is φ = 1132185600.

The previous prime is 2541066401. The next prime is 2541066433. The reversal of 2541066424 is 4246601452.

It is a self number, because there is not a number n which added to its sum of digits gives 2541066424.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6336624 + ... + 6337024.

Almost surely, 22541066424 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 2541066424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670445800).

2541066424 is an abundant number, since it is smaller than the sum of its proper divisors (2799825176).

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

2541066424 is a wasteful number, since it uses less digits than its factorization.

2541066424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2541066424 is about 50408.9914995331. The cubic root of 2541066424 is about 1364.5999129786.

Adding to 2541066424 its reverse (4246601452), we get a palindrome (6787667876).

The spelling of 2541066424 in words is "two billion, five hundred forty-one million, sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 109 169 172 218 338 344 401 436 559 676 802 872 1118 1352 1417 1604 2236 2834 3208 4472 4687 5213 5668 7267 9374 10426 11336 14534 17243 18421 18748 20852 29068 34486 36842 37496 41704 43709 58136 60931 67769 68972 73684 87418 121862 135538 137944 147368 174836 224159 243724 271076 349672 448318 487448 542152 568217 792103 896636 1136434 1584206 1793272 1879487 2272868 2914067 3168412 3758974 4545736 5828134 6336824 7386821 7517948 11656268 14773642 15035896 23312536 24433331 29547284 48866662 59094568 97733324 195466648 317633303 635266606 1270533212 2541066424