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2888104480 = 255236471213
BaseRepresentation
bin1010110000100100…
…1111101000100000
321110021110220112121
42230021033220200
521403323320410
61154330034024
7131366324452
oct25411175040
97407426477
102888104480
111252294708
12687278914
13370467481
141d57da2d2
1511d83e9da
hexac24fa20

2888104480 has 96 divisors (see below), whose sum is σ = 7136688384. Its totient is φ = 1102396416.

The previous prime is 2888104459. The next prime is 2888104487. The reversal of 2888104480 is 844018882.

It is a happy number.

It is a super-2 number, since 2×28881044802 = 16682294974792140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2888104487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380354 + ... + 2381566.

It is an arithmetic number, because the mean of its divisors is an integer number (74340504).

Almost surely, 22888104480 is an apocalyptic number.

2888104480 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 2888104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568344192).

2888104480 is an abundant number, since it is smaller than the sum of its proper divisors (4248583904).

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

2888104480 is a wasteful number, since it uses less digits than its factorization.

2888104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The square root of 2888104480 is about 53741.0874471293. The cubic root of 2888104480 is about 1424.0906446107.

The spelling of 2888104480 in words is "two billion, eight hundred eighty-eight million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 647 736 920 1213 1294 1840 2426 2588 3235 3680 4852 5176 6065 6470 9704 10352 12130 12940 14881 19408 20704 24260 25880 27899 29762 38816 48520 51760 55798 59524 74405 97040 103520 111596 119048 139495 148810 194080 223192 238096 278990 297620 446384 476192 557980 595240 784811 892768 1115960 1190480 1569622 2231920 2380960 3139244 3924055 4463840 6278488 7848110 12556976 15696220 18050653 25113952 31392440 36101306 62784880 72202612 90253265 125569760 144405224 180506530 288810448 361013060 577620896 722026120 1444052240 2888104480