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2666580 = 223572907
BaseRepresentation
bin1010001011000001010100
312000110212020
422023001110
51140312310
6133053140
731444200
oct12130124
95013766
102666580
111561494
12a871b0
13724977
144d5b00
1537a170
hex28b054

2666580 has 72 divisors (see below), whose sum is σ = 8695008. Its totient is φ = 608832.

The previous prime is 2666561. The next prime is 2666581. The reversal of 2666580 is 856662.

It is a super-2 number, since 2×26665802 = 14221297792800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (120764).

22666580 is an apocalyptic number.

2666580 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 2666580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347504).

2666580 is an abundant number, since it is smaller than the sum of its proper divisors (6028428).

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

2666580 is a wasteful number, since it uses less digits than its factorization.

2666580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2666580 is about 1632.9666255010. The cubic root of 2666580 is about 138.6707525711.

The spelling of 2666580 in words is "two million, six hundred sixty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 907 980 1470 1814 2721 2940 3628 4535 5442 6349 9070 10884 12698 13605 18140 19047 25396 27210 31745 38094 44443 54420 63490 76188 88886 95235 126980 133329 177772 190470 222215 266658 380940 444430 533316 666645 888860 1333290 2666580