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2066505360 = 243519453181
BaseRepresentation
bin111101100101100…
…0101111010010000
312100000111100102120
41323023011322100
513213011132420
6541020214240
7102132001653
oct17313057220
95300440376
102066505360
11970541077
1249809a380
1326c19134a
1415864b89a
15c164cd40
hex7b2c5e90

2066505360 has 80 divisors (see below), whose sum is σ = 6743348160. Its totient is φ = 522063360.

The previous prime is 2066505359. The next prime is 2066505367. The reversal of 2066505360 is 635056602.

2066505360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2066505367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222031 + ... + 231150.

It is an arithmetic number, because the mean of its divisors is an integer number (84291852).

Almost surely, 22066505360 is an apocalyptic number.

2066505360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066505360 is an abundant number, since it is smaller than the sum of its proper divisors (4676842800).

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

2066505360 is a wasteful number, since it uses less digits than its factorization.

2066505360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453216 (or 453210 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2066505360 is about 45458.8314852021. The cubic root of 2066505360 is about 1273.7343041253.

The spelling of 2066505360 in words is "two billion, sixty-six million, five hundred five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 453181 906362 1359543 1812724 2265905 2719086 3625448 4531810 5438172 6797715 7250896 8610439 9063620 10876344 13595430 17220878 18127240 21752688 25831317 27190860 34441756 36254480 43052195 51662634 54381720 68883512 86104390 103325268 108763440 129156585 137767024 172208780 206650536 258313170 344417560 413301072 516626340 688835120 1033252680 2066505360