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2040822690 = 2353137127467
BaseRepresentation
bin111100110100100…
…0111101110100010
312021020011112102120
41321221013232202
513134422311230
6534301525110
7101400464244
oct17151075642
95236145376
102040822690
11957a9a325
1248b573796
13266a6b4ba
14155084094
15be278310
hex79a47ba2

2040822690 has 128 divisors (see below), whose sum is σ = 5244715008. Its totient is φ = 507306240.

The previous prime is 2040822677. The next prime is 2040822697. The reversal of 2040822690 is 962280402.

It is a super-2 number, since 2×20408226902 = 8329914504037672200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2040822697) 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 63 ways as a sum of consecutive naturals, for example, 4369837 + ... + 4370303.

It is an arithmetic number, because the mean of its divisors is an integer number (40974336).

Almost surely, 22040822690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040822690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622357504).

2040822690 is an abundant number, since it is smaller than the sum of its proper divisors (3203892318).

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

2040822690 is a wasteful number, since it uses less digits than its factorization.

2040822690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2040822690 is about 45175.4655759075. The cubic root of 2040822690 is about 1268.4356065707.

The spelling of 2040822690 in words is "two billion, forty million, eight hundred twenty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 127 155 185 186 222 254 310 370 381 465 467 555 635 762 930 934 1110 1147 1270 1401 1905 2294 2335 2802 3441 3810 3937 4670 4699 5735 6882 7005 7874 9398 11470 11811 14010 14097 14477 17205 17279 19685 23495 23622 28194 28954 34410 34558 39370 43431 46990 51837 59055 59309 70485 72385 86395 86862 103674 118110 118618 140970 144770 145669 172790 177927 217155 259185 291338 296545 355854 434310 437007 518370 535649 593090 728345 874014 889635 1071298 1456690 1606947 1779270 1838579 2185035 2194433 2678245 3213894 3677158 4370070 4388866 5356490 5515737 6583299 8034735 9192895 10972165 11031474 13166598 16069470 18385790 21944330 27578685 32916495 55157370 65832990 68027423 136054846 204082269 340137115 408164538 680274230 1020411345 2040822690