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2042614180 = 2253114922111
BaseRepresentation
bin111100110111111…
…1101000110100100
312021100112112220001
41321233331012210
513140402123210
6534404151044
7101421635245
oct17157750644
95240475801
102042614180
119590032a2
12490098484
13267247a59
141553ccccc
15be4ce03a
hex79bfd1a4

2042614180 has 48 divisors (see below), whose sum is σ = 4457779200. Its totient is φ = 785347200.

The previous prime is 2042614157. The next prime is 2042614181. The reversal of 2042614180 is 814162402.

It is not an unprimeable number, because it can be changed into a prime (2042614181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81325 + ... + 103435.

It is an arithmetic number, because the mean of its divisors is an integer number (92870400).

Almost surely, 22042614180 is an apocalyptic number.

2042614180 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 2042614180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228889600).

2042614180 is an abundant number, since it is smaller than the sum of its proper divisors (2415165020).

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

2042614180 is a wasteful number, since it uses less digits than its factorization.

2042614180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22300 (or 22298 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2042614180 is about 45195.2893563035. The cubic root of 2042614180 is about 1268.8066538478.

Adding to 2042614180 its reverse (814162402), we get a palindrome (2856776582).

The spelling of 2042614180 in words is "two billion, forty-two million, six hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 149 155 298 310 596 620 745 1490 2980 4619 9238 18476 22111 23095 44222 46190 88444 92380 110555 221110 442220 685441 1370882 2741764 3294539 3427205 6589078 6854410 13178156 13708820 16472695 32945390 65890780 102130709 204261418 408522836 510653545 1021307090 2042614180