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2042340040 = 2351343241379
BaseRepresentation
bin111100110111011…
…1010001011001000
312021100000121211201
41321232322023020
513140314340130
6534354233544
7101416414066
oct17156721310
95240017751
102042340040
11958936334
1248bb858b4
13267180040
1415535b036
15be477bca
hex79bba2c8

2042340040 has 128 divisors (see below), whose sum is σ = 5098262400. Its totient is φ = 731566080.

The previous prime is 2042340037. The next prime is 2042340043. The reversal of 2042340040 is 400432402.

It is an interprime number because it is at equal distance from previous prime (2042340037) and next prime (2042340043).

It is not an unprimeable number, because it can be changed into a prime (2042340043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5388571 + ... + 5388949.

It is an arithmetic number, because the mean of its divisors is an integer number (39830175).

Almost surely, 22042340040 is an apocalyptic number.

2042340040 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 2042340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549131200).

2042340040 is an abundant number, since it is smaller than the sum of its proper divisors (3055922360).

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

2042340040 is a wasteful number, since it uses less digits than its factorization.

2042340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2042340040 is about 45192.2564163375. The cubic root of 2042340040 is about 1268.7498889725.

Adding to 2042340040 its reverse (400432402), we get a palindrome (2442772442).

The spelling of 2042340040 in words is "two billion, forty-two million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 241 260 344 379 430 482 520 559 758 860 964 1118 1205 1516 1720 1895 1928 2236 2410 2795 3032 3133 3790 4472 4820 4927 5590 6266 7580 9640 9854 10363 11180 12532 15160 15665 16297 19708 20726 22360 24635 25064 31330 32594 39416 41452 49270 51815 62660 65188 81485 82904 91339 98540 103630 125320 130376 134719 162970 182678 197080 207260 211861 269438 325940 365356 414520 423722 456695 538876 651880 673595 730712 847444 913390 1059305 1077752 1187407 1347190 1694888 1826780 2118610 2374814 2694380 3653560 3927577 4237220 4749628 5388760 5937035 7855154 8474440 9499256 11874070 15710308 19637885 23748140 31420616 39275770 47496280 51058501 78551540 102117002 157103080 204234004 255292505 408468008 510585010 1021170020 2042340040