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2668210240 = 2651132653
BaseRepresentation
bin1001111100001001…
…1010100001000000
320212221201010100111
42133002122201000
520431030211430
61120433001104
7123056261413
oct23702324100
96787633314
102668210240
11114a153933
126256b3194
13336a35c37
141b4519b7a
151093a5c2a
hex9f09a840

2668210240 has 84 divisors (see below), whose sum is σ = 6420217284. Its totient is φ = 1056219136.

The previous prime is 2668210229. The next prime is 2668210247. The reversal of 2668210240 is 420128662.

It can be written as a sum of positive squares in 6 ways, for example, as 1543546944 + 1124663296 = 39288^2 + 33536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668210247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4085754 + ... + 4086406.

Almost surely, 22668210240 is an apocalyptic number.

2668210240 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 2668210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210108642).

2668210240 is an abundant number, since it is smaller than the sum of its proper divisors (3752007044).

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

2668210240 is an equidigital number, since it uses as much as digits as its factorization.

2668210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2668210240 is about 51654.7213718165. The cubic root of 2668210240 is about 1386.9900605857.

The spelling of 2668210240 in words is "two billion, six hundred sixty-eight million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 653 904 1130 1306 1808 2260 2612 3265 3616 4520 5224 6530 7232 9040 10448 12769 13060 18080 20896 25538 26120 36160 41792 51076 52240 63845 73789 102152 104480 127690 147578 204304 208960 255380 295156 368945 408608 510760 590312 737890 817216 1021520 1180624 1475780 2043040 2361248 2951560 4086080 4722496 5903120 8338157 11806240 16676314 23612480 33352628 41690785 66705256 83381570 133410512 166763140 266821024 333526280 533642048 667052560 1334105120 2668210240