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2542184040 = 23351119101363
BaseRepresentation
bin1001011110000110…
…1010011001101000
320120011120022220110
42113201222121220
520201244342130
61100131454320
7116666131164
oct22741523150
96504508813
102542184040
111094aa6550
125ab4573a0
133168ac116
141a18b1ca4
15ed2aeab0
hex9786a668

2542184040 has 128 divisors (see below), whose sum is σ = 8757849600. Its totient is φ = 583845120.

The previous prime is 2542184033. The next prime is 2542184041. The reversal of 2542184040 is 404812452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2542183989 and 2542184007.

It is not an unprimeable number, because it can be changed into a prime (2542184041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25602 + ... + 75761.

It is an arithmetic number, because the mean of its divisors is an integer number (68420700).

Almost surely, 22542184040 is an apocalyptic number.

2542184040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542184040 is an abundant number, since it is smaller than the sum of its proper divisors (6215665560).

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

2542184040 is a wasteful number, since it uses less digits than its factorization.

2542184040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101407 (or 101403 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2542184040 is about 50420.0757635290. The cubic root of 2542184040 is about 1364.7999438458.

Adding to 2542184040 its reverse (404812452), we get a palindrome (2946996492).

The spelling of 2542184040 in words is "two billion, five hundred forty-two million, one hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 101363 202726 304089 405452 506815 608178 810904 1013630 1114993 1216356 1520445 1925897 2027260 2229986 2432712 3040890 3344979 3851794 4054520 4459972 5574965 5777691 6081780 6689958 7703588 8919944 9629485 11149930 11555382 12163560 13379916 15407176 16724895 19258970 21184867 22299860 23110764 26759832 28888455 33449790 38517940 42369734 44599720 46221528 57776910 63554601 66899580 77035880 84739468 105924335 115553820 127109202 133799160 169478936 211848670 231107640 254218404 317773005 423697340 508436808 635546010 847394680 1271092020 2542184040