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2544060042 = 233317331449
BaseRepresentation
bin1001011110100011…
…0100011010001010
320120022002122022000
42113220310122022
520202234410132
61100240011430
7120021103446
oct22750643212
96508078260
102544060042
111096067a67
125b0000b76
133170b7c94
141a1c3d826
15ed53087c
hex97a3468a

2544060042 has 64 divisors (see below), whose sum is σ = 5701104000. Its totient is φ = 840913920.

The previous prime is 2544060017. The next prime is 2544060053. The reversal of 2544060042 is 2400604452.

2544060042 is a `hidden beast` number, since 2 + 54 + 4 + 0 + 600 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2544059988 and 2544060015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5665834 + ... + 5666282.

It is an arithmetic number, because the mean of its divisors is an integer number (89079750).

Almost surely, 22544060042 is an apocalyptic number.

2544060042 is an abundant number, since it is smaller than the sum of its proper divisors (3157043958).

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

2544060042 is a wasteful number, since it uses less digits than its factorization.

2544060042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2544060042 is about 50438.6760532035. The cubic root of 2544060042 is about 1365.1355788529.

Adding to 2544060042 its reverse (2400604452), we get a palindrome (4944664494).

The spelling of 2544060042 in words is "two billion, five hundred forty-four million, sixty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 317 331 449 634 662 898 951 993 1347 1902 1986 2694 2853 2979 4041 5706 5958 8082 8559 8937 12123 17118 17874 24246 104927 142333 148619 209854 284666 297238 314781 426999 445857 629562 853998 891714 944343 1280997 1337571 1888686 2561994 2675142 2833029 3842991 4012713 5666058 7685982 8025426 47112223 94224446 141336669 282673338 424010007 848020014 1272030021 2544060042