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2119091280 = 2435191632851
BaseRepresentation
bin111111001001110…
…1100010001010000
312110200102222202020
41332103230101100
513314441410110
6550135251440
7103340656455
oct17623542120
95420388666
102119091280
11998198709
124b1819b80
1327a043787
1416161982c
15c6088d70
hex7e4ec450

2119091280 has 160 divisors (see below), whose sum is σ = 6959792640. Its totient is φ = 531878400.

The previous prime is 2119091207. The next prime is 2119091281. The reversal of 2119091280 is 821909112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119091281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741855 + ... + 744705.

It is an arithmetic number, because the mean of its divisors is an integer number (43498704).

Almost surely, 22119091280 is an apocalyptic number.

2119091280 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 2119091280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479896320).

2119091280 is an abundant number, since it is smaller than the sum of its proper divisors (4840701360).

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

2119091280 is a wasteful number, since it uses less digits than its factorization.

2119091280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 2119091280 is about 46033.5886065816. The cubic root of 2119091280 is about 1284.4480826631.

The spelling of 2119091280 in words is "two billion, one hundred nineteen million, ninety-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 163 190 228 240 285 304 326 380 456 489 570 652 760 815 912 978 1140 1304 1520 1630 1956 2280 2445 2608 2851 3097 3260 3912 4560 4890 5702 6194 6520 7824 8553 9291 9780 11404 12388 13040 14255 15485 17106 18582 19560 22808 24776 28510 30970 34212 37164 39120 42765 45616 46455 49552 54169 57020 61940 68424 74328 85530 92910 108338 114040 123880 136848 148656 162507 171060 185820 216676 228080 247760 270845 325014 342120 371640 433352 464713 541690 650028 684240 743280 812535 866704 929426 1083380 1300056 1394139 1625070 1858852 2166760 2323565 2600112 2788278 3250140 3717704 4333520 4647130 5576556 6500280 6970695 7435408 8829547 9294260 11153112 13000560 13941390 17659094 18588520 22306224 26488641 27882780 35318188 37177040 44147735 52977282 55765560 70636376 88295470 105954564 111531120 132443205 141272752 176590940 211909128 264886410 353181880 423818256 529772820 706363760 1059545640 2119091280