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2042878668 = 2232983107661
BaseRepresentation
bin111100111000011…
…1101101011001100
312021101000222200220
41321300331223030
513140434104133
6534413551340
7101424116325
oct17160755314
95241028626
102042878668
11959173a86
124901a5550
1326730b25c
1415545b44c
15be5325b3
hex79c3dacc

2042878668 has 96 divisors (see below), whose sum is σ = 5044757760. Its totient is φ = 642512640.

The previous prime is 2042878637. The next prime is 2042878679. The reversal of 2042878668 is 8668782402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042878668.

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, 3090258 + ... + 3090918.

It is an arithmetic number, because the mean of its divisors is an integer number (52549560).

Almost surely, 22042878668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042878668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522378880).

2042878668 is an abundant number, since it is smaller than the sum of its proper divisors (3001879092).

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

2042878668 is a wasteful number, since it uses less digits than its factorization.

2042878668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 2042878668 is about 45198.2153187490. The cubic root of 2042878668 is about 1268.8614153155.

The spelling of 2042878668 in words is "two billion, forty-two million, eight hundred seventy-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 83 87 107 116 166 174 214 249 321 332 348 428 498 642 661 996 1284 1322 1983 2407 2644 3103 3966 4814 6206 7221 7932 8881 9309 9628 12412 14442 17762 18618 19169 26643 28884 35524 37236 38338 53286 54863 57507 70727 76676 106572 109726 115014 141454 164589 212181 219452 230028 257549 282908 329178 424362 515098 658356 772647 848724 1030196 1545294 1591027 2051083 3090588 3182054 4102166 4773081 5870341 6153249 6364108 8204332 9546162 11740682 12306498 17611023 19092324 23481364 24612996 35222046 70444092 170239889 340479778 510719667 680959556 1021439334 2042878668