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2812638020 = 2251961711709
BaseRepresentation
bin1010011110100101…
…0111001101000100
321021000110211000112
42213221113031010
521230013404040
61143032332152
7126462012563
oct24751271504
97230424015
102812638020
11121372a635
12665b44058
1335a93376a
141c9793bda
15116dd4365
hexa7a57344

2812638020 has 96 divisors (see below), whose sum is σ = 6412089600. Its totient is φ = 1032998400.

The previous prime is 2812638019. The next prime is 2812638043. The reversal of 2812638020 is 208362182.

2812638020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644926 + ... + 1646634.

It is an arithmetic number, because the mean of its divisors is an integer number (66792600).

Almost surely, 22812638020 is an apocalyptic number.

2812638020 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 2812638020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

2812638020 is an abundant number, since it is smaller than the sum of its proper divisors (3599451580).

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

2812638020 is a wasteful number, since it uses less digits than its factorization.

2812638020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2812638020 is about 53034.3098380661. The cubic root of 2812638020 is about 1411.5771330403.

The spelling of 2812638020 in words is "two billion, eight hundred twelve million, six hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 61 71 76 95 122 142 190 244 284 305 355 380 610 710 1159 1220 1349 1420 1709 2318 2698 3418 4331 4636 5396 5795 6745 6836 8545 8662 11590 13490 17090 17324 21655 23180 26980 32471 34180 43310 64942 82289 86620 104249 121339 129884 162355 164578 208498 242678 324710 329156 411445 416996 485356 521245 606695 649420 822890 1042490 1213390 1645780 1980731 2084980 2305441 2426780 3961462 4610882 7401679 7922924 9221764 9903655 11527205 14803358 19807310 23054410 29606716 37008395 39614620 46108820 74016790 140631901 148033580 281263802 562527604 703159505 1406319010 2812638020