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2041208780 = 2251341419457
BaseRepresentation
bin111100110101010…
…0101111111001100
312021020220011001012
41321222211333030
513140022140110
6534314104352
7101403663002
oct17152457714
95236804035
102041208780
11958233406
1248b71b0b8
13266b75160
14155144a72
15be302905
hex79aa5fcc

2041208780 has 96 divisors (see below), whose sum is σ = 4750522560. Its totient is φ = 731934720.

The previous prime is 2041208759. The next prime is 2041208797. The reversal of 2041208780 is 878021402.

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, 4466312 + ... + 4466768.

It is an arithmetic number, because the mean of its divisors is an integer number (49484610).

Almost surely, 22041208780 is an apocalyptic number.

2041208780 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 2041208780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375261280).

2041208780 is an abundant number, since it is smaller than the sum of its proper divisors (2709313780).

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

2041208780 is a wasteful number, since it uses less digits than its factorization.

2041208780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2041208780 is about 45179.7386003948. The cubic root of 2041208780 is about 1268.5155905605.

The spelling of 2041208780 in words is "two billion, forty-one million, two hundred eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 419 457 533 820 838 914 1066 1676 1828 2095 2132 2285 2665 4190 4570 5330 5447 5941 8380 9140 10660 10894 11882 17179 18737 21788 23764 27235 29705 34358 37474 54470 59410 68716 74948 85895 93685 108940 118820 171790 187370 191483 223327 243581 343580 374740 382966 446654 487162 765932 893308 957415 974324 1116635 1217905 1914830 2233270 2435810 2489279 3829660 4466540 4871620 4978558 7850803 9957116 12446395 15701606 24892790 31403212 39254015 49785580 78508030 102060439 157016060 204120878 408241756 510302195 1020604390 2041208780