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2840509080 = 233357393559
BaseRepresentation
bin1010100101001110…
…1011101010011000
321022221220210221000
42221103223222120
521304132242310
61145505545000
7130250633403
oct25123535230
97287823830
102840509080
111228436572
12673345160
13363641706
141cd36ad3a
1511958c4c0
hexa94eba98

2840509080 has 128 divisors (see below), whose sum is σ = 9483840000. Its totient is φ = 756231552.

The previous prime is 2840509079. The next prime is 2840509109. The reversal of 2840509080 is 809050482.

2840509080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 796341 + ... + 799899.

It is an arithmetic number, because the mean of its divisors is an integer number (74092500).

Almost surely, 22840509080 is an apocalyptic number.

2840509080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2840509080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741920000).

2840509080 is an abundant number, since it is smaller than the sum of its proper divisors (6643330920).

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

2840509080 is a wasteful number, since it uses less digits than its factorization.

2840509080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2840509080 is about 53296.4265218598. The cubic root of 2840509080 is about 1416.2243611738.

The spelling of 2840509080 in words is "two billion, eight hundred forty million, five hundred nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 739 1080 1478 2217 2956 3559 3695 4434 5912 6651 7118 7390 8868 10677 11085 13302 14236 14780 17736 17795 19953 21354 22170 26604 28472 29560 32031 33255 35590 39906 42708 44340 53208 53385 64062 66510 71180 79812 85416 88680 96093 99765 106770 128124 133020 142360 159624 160155 192186 199530 213540 256248 266040 320310 384372 399060 427080 480465 640620 768744 798120 960930 1281240 1921860 2630101 3843720 5260202 7890303 10520404 13150505 15780606 21040808 23670909 26301010 31561212 39451515 47341818 52602020 63122424 71012727 78903030 94683636 105204040 118354545 142025454 157806060 189367272 236709090 284050908 315612120 355063635 473418180 568101816 710127270 946836360 1420254540 2840509080