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2066521040 = 24537719971
BaseRepresentation
bin111101100101100…
…1001101111010000
312100000112010221022
41323023021233100
513213012133130
6541020415012
7102132065453
oct17313115720
95300463838
102066521040
11970551931
124980a7468
1326c19851c
1415865349a
15c16527e5
hex7b2c9bd0

2066521040 has 80 divisors (see below), whose sum is σ = 4946469120. Its totient is φ = 802321920.

The previous prime is 2066521031. The next prime is 2066521099. The reversal of 2066521040 is 401256602.

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

It is a congruent number.

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, 2127755 + ... + 2128725.

It is an arithmetic number, because the mean of its divisors is an integer number (61830864).

Almost surely, 22066521040 is an apocalyptic number.

2066521040 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 2066521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473234560).

2066521040 is an abundant number, since it is smaller than the sum of its proper divisors (2879948080).

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

2066521040 is a wasteful number, since it uses less digits than its factorization.

2066521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2066521040 is about 45459.0039486129. The cubic root of 2066521040 is about 1273.7375256837.

Adding to 2066521040 its reverse (401256602), we get a palindrome (2467777642).

The spelling of 2066521040 in words is "two billion, sixty-six million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 719 740 971 1438 1480 1942 2876 2960 3595 3884 4855 5752 7190 7768 9710 11504 14380 15536 19420 26603 28760 35927 38840 53206 57520 71854 77680 106412 133015 143708 179635 212824 266030 287416 359270 425648 532060 574832 698149 718540 1064120 1396298 1437080 2128240 2792596 2874160 3490745 5585192 6981490 11170384 13962980 25831513 27925960 51663026 55851920 103326052 129157565 206652104 258315130 413304208 516630260 1033260520 2066521040