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2064840580 = 2251119225999
BaseRepresentation
bin111101100010010…
…1111011110000100
312022220100202210001
41323010233132010
513212044344310
6540520411044
7102111566245
oct17304573604
95286322701
102064840580
1196a604320
12497616a84
1326ba2a67a
14158336ccc
15c141e93a
hex7b12f784

2064840580 has 72 divisors (see below), whose sum is σ = 4992624000. Its totient is φ = 711305280.

The previous prime is 2064840539. The next prime is 2064840581. The reversal of 2064840580 is 850484602.

It is not an unprimeable number, because it can be changed into a prime (2064840581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66421 + ... + 92419.

It is an arithmetic number, because the mean of its divisors is an integer number (69342000).

Almost surely, 22064840580 is an apocalyptic number.

2064840580 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 2064840580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312000).

2064840580 is an abundant number, since it is smaller than the sum of its proper divisors (2927783420).

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

2064840580 is a wasteful number, since it uses less digits than its factorization.

2064840580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26057 (or 26036 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 2064840580 is about 45440.5169424821. The cubic root of 2064840580 is about 1273.3921714418.

The spelling of 2064840580 in words is "two billion, sixty-four million, eight hundred forty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 3610 3971 4180 7220 7942 15884 19855 25999 39710 51998 79420 103996 129995 259990 285989 493981 519980 571978 987962 1143956 1429945 1975924 2469905 2859890 4939810 5433791 5719780 9385639 9879620 10867582 18771278 21735164 27168955 37542556 46928195 54337910 93856390 103242029 108675820 187712780 206484058 412968116 516210145 1032420290 2064840580