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2042422460 = 2251325931019
BaseRepresentation
bin111100110111100…
…1110010010111100
312021100011210220022
41321233032102330
513140330004320
6534400111312
7101420206301
oct17157162274
95240153808
102042422460
11958992251
12490005538
132671ab700
1415537d0a8
15be492325
hex79bce4bc

2042422460 has 72 divisors (see below), whose sum is σ = 4656793680. Its totient is φ = 752114688.

The previous prime is 2042422453. The next prime is 2042422511. The reversal of 2042422460 is 642242402.

It is a happy number.

It is a super-2 number, since 2×20424224602 = 8342979010224903200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003831 + ... + 2004849.

It is an arithmetic number, because the mean of its divisors is an integer number (64677690).

Almost surely, 22042422460 is an apocalyptic number.

2042422460 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 2042422460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328396840).

2042422460 is an abundant number, since it is smaller than the sum of its proper divisors (2614371220).

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

2042422460 is a wasteful number, since it uses less digits than its factorization.

2042422460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2042422460 is about 45193.1682890235. The cubic root of 2042422460 is about 1268.7669558267.

Adding to 2042422460 its reverse (642242402), we get a palindrome (2684664862).

The spelling of 2042422460 in words is "two billion, forty-two million, four hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 593 676 845 1019 1186 1690 2038 2372 2965 3380 4076 5095 5930 7709 10190 11860 13247 15418 20380 26494 30836 38545 52988 66235 77090 100217 132470 154180 172211 200434 264940 344422 400868 501085 604267 688844 861055 1002170 1208534 1722110 2004340 2417068 3021335 3444220 6042670 7855471 12085340 15710942 31421884 39277355 78554710 102121123 157109420 204242246 408484492 510605615 1021211230 2042422460