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2081644180 = 2257111971143
BaseRepresentation
bin111110000010011…
…0101111010010100
312101001222110222121
41330010311322110
513230400103210
6542320505324
7102404453320
oct17404657224
95331873877
102081644180
119790410a0
124a117b244
13272361c25
1415a66c980
15c2b3d6da
hex7c135e94

2081644180 has 96 divisors (see below), whose sum is σ = 5737052160. Its totient is φ = 614666880.

The previous prime is 2081644151. The next prime is 2081644189. The reversal of 2081644180 is 814461802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081644189) 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, 6312 + ... + 64831.

It is an arithmetic number, because the mean of its divisors is an integer number (59760960).

Almost surely, 22081644180 is an apocalyptic number.

2081644180 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 2081644180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868526080).

2081644180 is an abundant number, since it is smaller than the sum of its proper divisors (3655407980).

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

2081644180 is a wasteful number, since it uses less digits than its factorization.

2081644180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71189 (or 71187 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2081644180 is about 45625.0389588875. The cubic root of 2081644180 is about 1276.8371168895.

The spelling of 2081644180 in words is "two billion, eighty-one million, six hundred forty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 71143 142286 284572 355715 498001 711430 782573 996002 1351717 1422860 1565146 1992004 2490005 2703434 3130292 3912865 4980010 5406868 5478011 6758585 7825730 9462019 9960020 10956022 13517170 14868887 15651460 18924038 21912044 27034340 27390055 29737774 37848076 47310095 54780110 59475548 74344435 94620190 104082209 109560220 148688870 189240380 208164418 297377740 416328836 520411045 1040822090 2081644180