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2670042440 = 2351317367823
BaseRepresentation
bin1001111100100101…
…1001110101001000
320220002011012122202
42133021121311020
520432012324230
61120540135332
7123110662202
oct23711316510
96802135582
102670042440
11115019544a
12626237548
13337227b90
141b4875772
15109618a45
hex9f259d48

2670042440 has 128 divisors (see below), whose sum is σ = 6877301760. Its totient is φ = 924217344.

The previous prime is 2670042421. The next prime is 2670042461. The reversal of 2670042440 is 442400762.

2670042440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3243869 + ... + 3244691.

It is an arithmetic number, because the mean of its divisors is an integer number (53728920).

Almost surely, 22670042440 is an apocalyptic number.

2670042440 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 2670042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438650880).

2670042440 is an abundant number, since it is smaller than the sum of its proper divisors (4207259320).

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

2670042440 is a wasteful number, since it uses less digits than its factorization.

2670042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 2670042440 is about 51672.4533963697. The cubic root of 2670042440 is about 1387.3074595799.

The spelling of 2670042440 in words is "two billion, six hundred seventy million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 367 442 520 680 734 823 884 1105 1468 1646 1768 1835 2210 2936 3292 3670 4115 4420 4771 6239 6584 7340 8230 8840 9542 10699 12478 13991 14680 16460 19084 21398 23855 24956 27982 31195 32920 38168 42796 47710 49912 53495 55964 62390 69955 81107 85592 95420 106990 111928 124780 139910 162214 181883 190840 213980 249560 279820 302041 324428 363766 405535 427960 559640 604082 648856 727532 811070 909415 1208164 1455064 1510205 1622140 1818830 2416328 3020410 3244280 3637660 3926533 5134697 6040820 7275320 7853066 10269394 12081640 15706132 19632665 20538788 25673485 31412264 39265330 41077576 51346970 66751061 78530660 102693940 133502122 157061320 205387880 267004244 333755305 534008488 667510610 1335021220 2670042440