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2740229280 = 253255933209
BaseRepresentation
bin1010001101010100…
…1001010010100000
321001222020001220100
42203111021102200
521102444314110
61131524342400
7124622364435
oct24325112240
97058201810
102740229280
1111868738a8
12645844a00
13348930759
141bdd05b8c
1511087ebc0
hexa35494a0

2740229280 has 144 divisors (see below), whose sum is σ = 9369720360. Its totient is φ = 729268224.

The previous prime is 2740229279. The next prime is 2740229293. The reversal of 2740229280 is 829220472.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2374807824 + 365421456 = 48732^2 + 19116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852316 + ... + 855524.

Almost surely, 22740229280 is an apocalyptic number.

2740229280 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 2740229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684860180).

2740229280 is an abundant number, since it is smaller than the sum of its proper divisors (6629491080).

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

2740229280 is a wasteful number, since it uses less digits than its factorization.

2740229280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2740229280 is about 52347.1993520188. The cubic root of 2740229280 is about 1399.3584271221.

The spelling of 2740229280 in words is "two billion, seven hundred forty million, two hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 593 720 1186 1440 1779 2372 2965 3209 3558 4744 5337 5930 6418 7116 8895 9488 9627 10674 11860 12836 14232 16045 17790 18976 19254 21348 23720 25672 26685 28464 28881 32090 35580 38508 42696 47440 48135 51344 53370 56928 57762 64180 71160 77016 85392 94880 96270 102688 106740 115524 128360 142320 144405 154032 170784 192540 213480 231048 256720 284640 288810 308064 385080 426960 462096 513440 577620 770160 853920 924192 1155240 1540320 1902937 2310480 3805874 4620960 5708811 7611748 9514685 11417622 15223496 17126433 19029370 22835244 28544055 30446992 34252866 38058740 45670488 57088110 60893984 68505732 76117480 85632165 91340976 114176220 137011464 152234960 171264330 182681952 228352440 274022928 304469920 342528660 456704880 548045856 685057320 913409760 1370114640 2740229280