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2541550020 = 22351372331327
BaseRepresentation
bin1001011101111100…
…1111100111000100
320120010101010012020
42113133033213010
520201114100040
61100110123140
7116660550552
oct22737174704
96503333166
102541550020
111094703169
125ab1b04b0
13316719669
141a1788bd2
15ed1d6cd0
hex977cf9c4

2541550020 has 96 divisors (see below), whose sum is σ = 7204474368. Its totient is φ = 669407232.

The previous prime is 2541550019. The next prime is 2541550073. The reversal of 2541550020 is 200551452.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 1914597 + ... + 1915923.

It is an arithmetic number, because the mean of its divisors is an integer number (75046608).

Almost surely, 22541550020 is an apocalyptic number.

2541550020 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 2541550020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602237184).

2541550020 is an abundant number, since it is smaller than the sum of its proper divisors (4662924348).

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

2541550020 is a wasteful number, since it uses less digits than its factorization.

2541550020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2541550020 is about 50413.7879949523. The cubic root of 2541550020 is about 1364.6864741687.

The spelling of 2541550020 in words is "two billion, five hundred forty-one million, five hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 233 274 411 466 548 685 699 822 932 1165 1327 1370 1398 1644 2055 2330 2654 2740 2796 3495 3981 4110 4660 5308 6635 6990 7962 8220 13270 13980 15924 19905 26540 31921 39810 63842 79620 95763 127684 159605 181799 191526 309191 319210 363598 383052 478815 545397 618382 638420 727196 908995 927573 957630 1090794 1236764 1545955 1817990 1855146 1915260 2181588 2726985 3091910 3635980 3710292 4637865 5453970 6183820 9275730 10907940 18551460 42359167 84718334 127077501 169436668 211795835 254155002 423591670 508310004 635387505 847183340 1270775010 2541550020