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2680555780 = 225724336317
BaseRepresentation
bin1001111111000110…
…0000100100000100
320220210221100020201
42133301200210010
520442210241110
61121553340244
7123266230300
oct23761404404
96823840221
102680555780
111156116261
12629867684
133394692a6
141b6010d00
1510a4e3b3a
hex9fc60904

2680555780 has 72 divisors (see below), whose sum is σ = 6564376728. Its totient is φ = 916780032.

The previous prime is 2680555751. The next prime is 2680555781. The reversal of 2680555780 is 875550862.

It can be written as a sum of positive squares in 4 ways, for example, as 37773316 + 2642782464 = 6146^2 + 51408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2680555780.

It is not an unprimeable number, because it can be changed into a prime (2680555781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421182 + ... + 427498.

It is an arithmetic number, because the mean of its divisors is an integer number (91171899).

Almost surely, 22680555780 is an apocalyptic number.

2680555780 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 2680555780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282188364).

2680555780 is an abundant number, since it is smaller than the sum of its proper divisors (3883820948).

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

2680555780 is a wasteful number, since it uses less digits than its factorization.

2680555780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The square root of 2680555780 is about 51774.0840575669. The cubic root of 2680555780 is about 1389.1259242539.

The spelling of 2680555780 in words is "two billion, six hundred eighty million, five hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 433 490 866 980 1732 2165 3031 4330 6062 6317 8660 12124 12634 15155 21217 25268 30310 31585 42434 44219 60620 63170 84868 88438 106085 126340 176876 212170 221095 309533 424340 442190 619066 884380 1238132 1547665 2735261 3095330 5470522 6190660 10941044 13676305 19146827 27352610 38293654 54705220 76587308 95734135 134027789 191468270 268055578 382936540 536111156 670138945 1340277890 2680555780