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2666376240 = 2435111009991
BaseRepresentation
bin1001111011101101…
…1010110000110000
320212211020221120120
42132323122300300
520430043014430
61120325410240
7123034552443
oct23673326060
96784227516
102666376240
111149110a30
12624b69980
13336543228
141b419d65a
15109142610
hex9eedac30

2666376240 has 80 divisors (see below), whose sum is σ = 9017208576. Its totient is φ = 646393600.

The previous prime is 2666376217. The next prime is 2666376241. The reversal of 2666376240 is 426736662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2666376192 and 2666376201.

It is not an unprimeable number, because it can be changed into a prime (2666376241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502356 + ... + 507635.

Almost surely, 22666376240 is an apocalyptic number.

2666376240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2666376240 is an abundant number, since it is smaller than the sum of its proper divisors (6350832336).

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

2666376240 is a wasteful number, since it uses less digits than its factorization.

2666376240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010018 (or 1010012 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 2666376240 is about 51636.9658287549. The cubic root of 2666376240 is about 1386.6722042226.

The spelling of 2666376240 in words is "two billion, six hundred sixty-six million, three hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1009991 2019982 3029973 4039964 5049955 6059946 8079928 10099910 11109901 12119892 15149865 16159856 20199820 22219802 24239784 30299730 33329703 40399640 44439604 48479568 55549505 60599460 66659406 80799280 88879208 111099010 121198920 133318812 166648515 177758416 222198020 242397840 266637624 333297030 444396040 533275248 666594060 888792080 1333188120 2666376240