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2668080224 = 252331337347
BaseRepresentation
bin1001111100000111…
…1010110001100000
320212221110112000002
42133001322301200
520431012031344
61120430115132
7123055210355
oct23701726140
96787415002
102668080224
11114a075187
1262564baa8
133369bb9c4
141b44c462c
1510937c44e
hex9f07ac60

2668080224 has 96 divisors (see below), whose sum is σ = 5691119616. Its totient is φ = 1227663360.

The previous prime is 2668080199. The next prime is 2668080229. The reversal of 2668080224 is 4220808662.

It is a hoax number, since the sum of its digits (38) 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 (2668080229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7688819 + ... + 7689165.

It is an arithmetic number, because the mean of its divisors is an integer number (59282496).

Almost surely, 22668080224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845559808).

2668080224 is an abundant number, since it is smaller than the sum of its proper divisors (3023039392).

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

2668080224 is a wasteful number, since it uses less digits than its factorization.

2668080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 2668080224 is about 51653.4628461636. The cubic root of 2668080224 is about 1386.9675318976.

Adding to 2668080224 its reverse (4220808662), we get a palindrome (6888888886).

The spelling of 2668080224 in words is "two billion, six hundred sixty-eight million, eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 337 347 368 496 674 694 713 736 992 1348 1388 1426 2696 2776 2852 5392 5552 5704 7751 7981 10447 10757 10784 11104 11408 15502 15962 20894 21514 22816 31004 31924 41788 43028 62008 63848 83576 86056 116939 124016 127696 167152 172112 233878 240281 247411 248032 255392 334304 344224 467756 480562 494822 935512 961124 989644 1871024 1922248 1979288 2689597 3625109 3742048 3844496 3958576 5379194 7250218 7688992 7917152 10758388 14500436 21516776 29000872 43033552 58001744 83377507 86067104 116003488 166755014 333510028 667020056 1334040112 2668080224