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2028805440 = 26359721787
BaseRepresentation
bin111100011101101…
…0001110101000000
312020101112222212020
41320323101311000
513123333233230
6533152201440
7101163363444
oct17073216500
95211488766
102028805440
11951231612
12487539280
132644216bc
14153636824
15bd1a2810
hex78ed1d40

2028805440 has 112 divisors (see below), whose sum is σ = 6508162752. Its totient is φ = 535412736.

The previous prime is 2028805439. The next prime is 2028805451. The reversal of 2028805440 is 445088202.

It is a happy number.

2028805440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82227 + ... + 104013.

It is an arithmetic number, because the mean of its divisors is an integer number (58108596).

Almost surely, 22028805440 is an apocalyptic number.

2028805440 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 2028805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254081376).

2028805440 is an abundant number, since it is smaller than the sum of its proper divisors (4479357312).

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

2028805440 is a wasteful number, since it uses less digits than its factorization.

2028805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21904 (or 21894 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 2028805440 is about 45042.2628205999. The cubic root of 2028805440 is about 1265.9410038669.

The spelling of 2028805440 in words is "two billion, twenty-eight million, eight hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 15520 18624 21787 23280 31040 43574 46560 65361 87148 93120 108935 130722 174296 217870 261444 326805 348592 435740 522888 653610 697184 871480 1045776 1307220 1394368 1742960 2091552 2113339 2614440 3485920 4183104 4226678 5228880 6340017 6971840 8453356 10457760 10566695 12680034 16906712 20915520 21133390 25360068 31700085 33813424 42266780 50720136 63400170 67626848 84533560 101440272 126800340 135253696 169067120 202880544 253600680 338134240 405761088 507201360 676268480 1014402720 2028805440