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2542364244 = 22327411032389
BaseRepresentation
bin1001011110001001…
…0110011001010100
320120011220111002200
42113202112121110
520201321123434
61100135404500
7120000511440
oct22742263124
96504814080
102542364244
111095109982
125ab523730
13316943154
141a191b820
15ed2e8199
hex97896654

2542364244 has 144 divisors (see below), whose sum is σ = 7599970560. Its totient is φ = 701498880.

The previous prime is 2542364243. The next prime is 2542364269. The reversal of 2542364244 is 4424632452.

2542364244 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 3 + 642 + 4 + 4 = 666.

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 = 2542364199 and 2542364208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542364243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063002 + ... + 1065390.

Almost surely, 22542364244 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 2542364244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799985280).

2542364244 is an abundant number, since it is smaller than the sum of its proper divisors (5057606316).

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

2542364244 is a wasteful number, since it uses less digits than its factorization.

2542364244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2545 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 2542364244 is about 50421.8627581330. The cubic root of 2542364244 is about 1364.8321912616.

Adding to 2542364244 its reverse (4424632452), we get a palindrome (6966996696).

The spelling of 2542364244 in words is "two billion, five hundred forty-two million, three hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 103 123 126 164 206 246 252 287 309 369 412 492 574 618 721 738 861 927 1148 1236 1442 1476 1722 1854 2163 2389 2583 2884 3444 3708 4223 4326 4778 5166 6489 7167 8446 8652 9556 10332 12669 12978 14334 16723 16892 21501 25338 25956 28668 29561 33446 38007 43002 50169 50676 59122 66892 76014 86004 88683 97949 100338 118244 150507 152028 177366 195898 200676 246067 266049 293847 301014 354732 391796 492134 532098 587694 602028 685643 738201 881541 984268 1064196 1175388 1371286 1476402 1722469 1763082 2056929 2214603 2742572 2952804 3444938 3526164 4113858 4429206 5167407 6170787 6889876 8227716 8858412 10088747 10334814 12341574 15502221 20177494 20669628 24683148 30266241 31004442 40354988 60532482 62008884 70621229 90798723 121064964 141242458 181597446 211863687 282484916 363194892 423727374 635591061 847454748 1271182122 2542364244