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2010554040 = 2335112396373
BaseRepresentation
bin111011111010110…
…1001111010111000
312012010012201122110
41313311221322320
513104200212130
6531301052320
7100552266405
oct16765517270
95163181573
102010554040
119419a6010
124813b70a0
13260701161
141510452ac
15bb799ab0
hex77d69eb8

2010554040 has 128 divisors (see below), whose sum is σ = 6608563200. Its totient is φ = 485291520.

The previous prime is 2010554003. The next prime is 2010554057. The reversal of 2010554040 is 404550102.

It is a junction number, because it is equal to n+sod(n) for n = 2010553998 and 2010554016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312294 + ... + 318666.

It is an arithmetic number, because the mean of its divisors is an integer number (51629400).

Almost surely, 22010554040 is an apocalyptic number.

2010554040 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 2010554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304281600).

2010554040 is an abundant number, since it is smaller than the sum of its proper divisors (4598009160).

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

2010554040 is a wasteful number, since it uses less digits than its factorization.

2010554040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2010554040 is about 44839.2020446395. The cubic root of 2010554040 is about 1262.1333724824.

The spelling of 2010554040 in words is "two billion, ten million, five hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 239 264 330 440 478 660 717 956 1195 1320 1434 1912 2390 2629 2868 3585 4780 5258 5736 6373 7170 7887 9560 10516 12746 13145 14340 15774 19119 21032 25492 26290 28680 31548 31865 38238 39435 50984 52580 63096 63730 70103 76476 78870 95595 105160 127460 140206 152952 157740 191190 210309 254920 280412 315480 350515 382380 420618 560824 701030 764760 841236 1051545 1402060 1523147 1682472 2103090 2804120 3046294 4206180 4569441 6092588 7615735 8412360 9138882 12185176 15231470 16754617 18277764 22847205 30462940 33509234 36555528 45694410 50263851 60925880 67018468 83773085 91388820 100527702 134036936 167546170 182777640 201055404 251319255 335092340 402110808 502638510 670184680 1005277020 2010554040