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2666552240 = 2451119915227
BaseRepresentation
bin1001111011110000…
…0101101110110000
320212211120220000002
42132330011232300
520430114132430
61120333245132
7123036214532
oct23674055660
96784526002
102666552240
111149221190
126250337a8
133365a5381
141b4207852
15109179845
hex9ef05bb0

2666552240 has 80 divisors (see below), whose sum is σ = 6797779200. Its totient is φ = 964719360.

The previous prime is 2666552209. The next prime is 2666552261. The reversal of 2666552240 is 422556662.

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

It is a super-2 number, since 2×26665522402 = 14221001697298035200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2666552194 and 2666552203.

It is an unprimeable number.

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, 167507 + ... + 182733.

It is an arithmetic number, because the mean of its divisors is an integer number (84972240).

Almost surely, 22666552240 is an apocalyptic number.

2666552240 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 2666552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398889600).

2666552240 is an abundant number, since it is smaller than the sum of its proper divisors (4131226960).

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

2666552240 is a wasteful number, since it uses less digits than its factorization.

2666552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 2666552240 is about 51638.6700061107. The cubic root of 2666552240 is about 1386.7027136627.

The spelling of 2666552240 in words is "two billion, six hundred sixty-six million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 796 880 995 1592 1990 2189 3184 3980 4378 7960 8756 10945 15227 15920 17512 21890 30454 35024 43780 60908 76135 87560 121816 152270 167497 175120 243632 304540 334994 609080 669988 837485 1218160 1339976 1674970 2679952 3030173 3349940 6060346 6699880 12120692 13399760 15150865 24241384 30301730 33331903 48482768 60603460 66663806 121206920 133327612 166659515 242413840 266655224 333319030 533310448 666638060 1333276120 2666552240