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2042412210 = 232537613337
BaseRepresentation
bin111100110111100…
…1011110010110010
312021100011021211200
41321233023302302
513140324142320
6534355552030
7101420134356
oct17157136262
95240137750
102042412210
11958985583
1248bbbb616
132671a6b47
14155379466
15be48e290
hex79bcbcb2

2042412210 has 48 divisors (see below), whose sum is σ = 5453801496. Its totient is φ = 529922304.

The previous prime is 2042412191. The next prime is 2042412221. The reversal of 2042412210 is 122142402.

2042412210 is a `hidden beast` number, since 2 + 0 + 42 + 412 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1396591641 + 645820569 = 37371^2 + 25413^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303339 + ... + 309998.

Almost surely, 22042412210 is an apocalyptic number.

2042412210 is an abundant number, since it is smaller than the sum of its proper divisors (3411389286).

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

2042412210 is a wasteful number, since it uses less digits than its factorization.

2042412210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613387 (or 613384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042412210 is about 45193.0548867854. The cubic root of 2042412210 is about 1268.7648333662.

Adding to 2042412210 its reverse (122142402), we get a palindrome (2164554612).

The spelling of 2042412210 in words is "two billion, forty-two million, four hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 613337 1226674 1840011 3066685 3680022 5520033 6133370 9200055 11040066 18400110 22693469 27600165 45386938 55200330 68080407 113467345 136160814 204241221 226934690 340402035 408482442 680804070 1021206105 2042412210