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2891375240 = 2351359731291
BaseRepresentation
bin1010110001010110…
…1110001010001000
321110111122002011212
42230111232022020
521410143001430
61154524112252
7131436166265
oct25425561210
97414562155
102891375240
111254119016
12688395688
13371041130
141d600c26c
1511dc88b95
hexac56e288

2891375240 has 128 divisors (see below), whose sum is σ = 7227964800. Its totient is φ = 1034311680.

The previous prime is 2891375219. The next prime is 2891375243. The reversal of 2891375240 is 425731982.

It is not an unprimeable number, because it can be changed into a prime (2891375243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238995 + ... + 2240285.

It is an arithmetic number, because the mean of its divisors is an integer number (56468475).

Almost surely, 22891375240 is an apocalyptic number.

2891375240 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 2891375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613982400).

2891375240 is an abundant number, since it is smaller than the sum of its proper divisors (4336589560).

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

2891375240 is a wasteful number, since it uses less digits than its factorization.

2891375240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 2891375240 is about 53771.5095566416. The cubic root of 2891375240 is about 1424.6280330054.

The spelling of 2891375240 in words is "two billion, eight hundred ninety-one million, three hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 73 104 118 130 146 236 260 292 295 365 472 520 584 590 730 767 949 1180 1291 1460 1534 1898 2360 2582 2920 3068 3796 3835 4307 4745 5164 6136 6455 7592 7670 8614 9490 10328 12910 15340 16783 17228 18980 21535 25820 30680 33566 34456 37960 43070 51640 55991 67132 76169 83915 86140 94243 111982 134264 152338 167830 172280 188486 223964 279955 304676 335660 376972 380845 447928 471215 559910 609352 671320 753944 761690 942430 990197 1119820 1225159 1523380 1884860 1980394 2239640 2450318 3046760 3769720 3960788 4900636 4950985 5560337 6125795 7921576 9801272 9901970 11120674 12251590 19803940 22241348 24503180 27801685 39607880 44482696 49006360 55603370 72284381 111206740 144568762 222413480 289137524 361421905 578275048 722843810 1445687620 2891375240