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2181741840 = 243253030197
BaseRepresentation
bin1000001000001010…
…1011110100010000
312122001022222011100
42002002223310100
513432011214330
61000254144400
7105031333245
oct20202536420
95561288140
102181741840
11a1a599a33
1250a7b2100
1328a00b005
14169a875cc
15cb812060
hex820abd10

2181741840 has 60 divisors (see below), whose sum is σ = 7327018764. Its totient is φ = 581797632.

The previous prime is 2181741827. The next prime is 2181741907. The reversal of 2181741840 is 481471812.

It can be written as a sum of positive squares in 2 ways, for example, as 393466896 + 1788274944 = 19836^2 + 42288^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2181741795 and 2181741804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1514379 + ... + 1515818.

Almost surely, 22181741840 is an apocalyptic number.

2181741840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2181741840 is an abundant number, since it is smaller than the sum of its proper divisors (5145276924).

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

2181741840 is a wasteful number, since it uses less digits than its factorization.

2181741840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030216 (or 3030207 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2181741840 is about 46709.1194522012. The cubic root of 2181741840 is about 1296.9835069922.

The spelling of 2181741840 in words is "two billion, one hundred eighty-one million, seven hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3030197 6060394 9090591 12120788 15150985 18181182 24241576 27271773 30301970 36362364 45452955 48483152 54543546 60603940 72724728 90905910 109087092 121207880 136358865 145449456 181811820 218174184 242415760 272717730 363623640 436348368 545435460 727247280 1090870920 2181741840