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2421124560 = 243352414651
BaseRepresentation
bin1001000001001111…
…0110110111010000
320020201202212112000
42100103312313100
514424301441220
61040125034000
7113666135121
oct22023666720
96221685460
102421124560
111032730798
125769b5900
132c77a3baa
1418d79c048
15e284a390
hex904f6dd0

2421124560 has 160 divisors (see below), whose sum is σ = 8375832960. Its totient is φ = 642816000.

The previous prime is 2421124549. The next prime is 2421124619. The reversal of 2421124560 is 654211242.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 518235 + ... + 522885.

It is an arithmetic number, because the mean of its divisors is an integer number (52348956).

Almost surely, 22421124560 is an apocalyptic number.

2421124560 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 2421124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187916480).

2421124560 is an abundant number, since it is smaller than the sum of its proper divisors (5954708400).

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

2421124560 is a wasteful number, since it uses less digits than its factorization.

2421124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2421124560 is about 49204.9241438293. The cubic root of 2421124560 is about 1342.7826189430.

The spelling of 2421124560 in words is "two billion, four hundred twenty-one million, one hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 241 270 360 432 482 540 720 723 964 1080 1205 1446 1928 2160 2169 2410 2892 3615 3856 4338 4651 4820 5784 6507 7230 8676 9302 9640 10845 11568 13014 13953 14460 17352 18604 19280 21690 23255 26028 27906 28920 32535 34704 37208 41859 43380 46510 52056 55812 57840 65070 69765 74416 83718 86760 93020 104112 111624 125577 130140 139530 167436 173520 186040 209295 223248 251154 260280 279060 334872 372080 418590 502308 520560 558120 627885 669744 837180 1004616 1116240 1120891 1255770 1674360 2009232 2241782 2511540 3348720 3362673 4483564 5023080 5604455 6725346 8967128 10046160 10088019 11208910 13450692 16813365 17934256 20176038 22417820 26901384 30264057 33626730 40352076 44835640 50440095 53802768 60528114 67253460 80704152 89671280 100880190 121056228 134506920 151320285 161408304 201760380 242112456 269013840 302640570 403520760 484224912 605281140 807041520 1210562280 2421124560