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2998668960 = 253257297487
BaseRepresentation
bin1011001010111100…
…0000111010100000
321201222112011111100
42302233000322200
522120124401320
61213315514400
7134211160050
oct26257007240
97658464440
102998668960
1112a9741411
126b82b8a00
1338a339741
1420637b560
151283ce790
hexb2bc0ea0

2998668960 has 144 divisors (see below), whose sum is σ = 11694848256. Its totient is φ = 685407744.

The previous prime is 2998668931. The next prime is 2998668983. The reversal of 2998668960 is 698668992.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138664 + ... + 158823.

It is an arithmetic number, because the mean of its divisors is an integer number (81214224).

Almost surely, 22998668960 is an apocalyptic number.

2998668960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2998668960 is an abundant number, since it is smaller than the sum of its proper divisors (8696179296).

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

2998668960 is a wasteful number, since it uses less digits than its factorization.

2998668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297515 (or 297504 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 2998668960 is about 54760.1037252487. The cubic root of 2998668960 is about 1442.0362396577.

The spelling of 2998668960 in words is "two billion, nine hundred ninety-eight million, six hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 297487 594974 892461 1189948 1487435 1784922 2082409 2379896 2677383 2974870 3569844 4164818 4462305 4759792 5354766 5949740 6247227 7139688 8329636 8924610 9519584 10412045 10709532 11899480 12494454 13386915 14279376 16659272 17849220 18741681 20824090 21419064 23798960 24988908 26773830 28558752 31236135 33318544 35698440 37483362 41648180 42838128 47597920 49977816 53547660 62472270 66637088 71396880 74966724 83296360 85676256 93708405 99955632 107095320 124944540 142793760 149933448 166592720 187416810 199911264 214190640 249889080 299866896 333185440 374833620 428381280 499778160 599733792 749667240 999556320 1499334480 2998668960