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2668439080 = 235314173719
BaseRepresentation
bin1001111100001101…
…0010011000101000
320212222010202021001
42133003102120220
520431110022310
61120441524344
7123061233526
oct23703223050
96788122231
102668439080
11114a29a85a
126257a36b4
13336ab6148
141b4579316
151093ed93a
hex9f0d2628

2668439080 has 128 divisors (see below), whose sum is σ = 6444748800. Its totient is φ = 992563200.

The previous prime is 2668438991. The next prime is 2668439101. The reversal of 2668439080 is 809348662.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2668439080.

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, 3710961 + ... + 3711679.

It is an arithmetic number, because the mean of its divisors is an integer number (50349600).

Almost surely, 22668439080 is an apocalyptic number.

2668439080 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 2668439080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222374400).

2668439080 is an abundant number, since it is smaller than the sum of its proper divisors (3776309720).

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

2668439080 is a wasteful number, since it uses less digits than its factorization.

2668439080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 2668439080 is about 51656.9364170970. The cubic root of 2668439080 is about 1387.0297113508.

The spelling of 2668439080 in words is "two billion, six hundred sixty-eight million, four hundred thirty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 73 82 124 146 155 164 205 248 292 310 328 365 410 584 620 719 730 820 1240 1271 1438 1460 1640 2263 2542 2876 2920 2993 3595 4526 5084 5752 5986 6355 7190 9052 10168 11315 11972 12710 14380 14965 18104 22289 22630 23944 25420 28760 29479 29930 44578 45260 50840 52487 58958 59860 89156 90520 92783 104974 111445 117916 119720 147395 178312 185566 209948 222890 235832 262435 294790 371132 419896 445780 463915 524870 589580 742264 891560 913849 927830 1049740 1179160 1627097 1827698 1855660 2099480 2151967 3254194 3655396 3711320 4303934 4569245 6508388 7310792 8135485 8607868 9138490 10759835 13016776 16270970 17215736 18276980 21519670 32541940 36553960 43039340 65083880 66710977 86078680 133421954 266843908 333554885 533687816 667109770 1334219540 2668439080