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2669086720 = 2115614273
BaseRepresentation
bin1001111100010111…
…0000100000000000
320220000100122122201
42133011300200000
520431241233340
61120503442544
7123066601636
oct23705604000
96800318581
102669086720
11114a6a23a3
12625a56454
13336c81b71
141b46a7356
151094ca79a
hex9f170800

2669086720 has 96 divisors (see below), whose sum is σ = 6510755160. Its totient is φ = 1049886720.

The previous prime is 2669086703. The next prime is 2669086733. The reversal of 2669086720 is 276809662.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1071645696 + 1597441024 = 32736^2 + 39968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622504 + ... + 626776.

Almost surely, 22669086720 is an apocalyptic number.

2669086720 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 2669086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255377580).

2669086720 is an abundant number, since it is smaller than the sum of its proper divisors (3841668440).

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

2669086720 is an equidigital number, since it uses as much as digits as its factorization.

2669086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 2669086720 is about 51663.2047012184. The cubic root of 2669086720 is about 1387.1419146816.

The spelling of 2669086720 in words is "two billion, six hundred sixty-nine million, eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1024 1220 1280 1952 2048 2440 2560 3904 4273 4880 5120 7808 8546 9760 10240 15616 17092 19520 21365 31232 34184 39040 42730 62464 68368 78080 85460 124928 136736 156160 170920 260653 273472 312320 341840 521306 546944 624640 683680 1042612 1093888 1303265 1367360 2085224 2187776 2606530 2734720 4170448 4375552 5213060 5469440 8340896 8751104 10426120 10938880 16681792 20852240 21877760 33363584 41704480 43755520 66727168 83408960 133454336 166817920 266908672 333635840 533817344 667271680 1334543360 2669086720