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2054240868 = 2232913145061
BaseRepresentation
bin111101001110001…
…0011101001100100
312022011102020201010
41322130103221210
513201341201433
6535501302220
7101622521301
oct17234235144
95264366633
102054240868
11964624629
12493b64970
13269788b54
14156b780a8
15c0528e63
hex7a713a64

2054240868 has 48 divisors (see below), whose sum is σ = 4996474560. Its totient is φ = 656073600.

The previous prime is 2054240821. The next prime is 2054240869. The reversal of 2054240868 is 8680424502.

It is a super-2 number, since 2×20542408682 = 8439811087522786848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2054240869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23058 + ... + 68118.

It is an arithmetic number, because the mean of its divisors is an integer number (104093220).

Almost surely, 22054240868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054240868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498237280).

2054240868 is an abundant number, since it is smaller than the sum of its proper divisors (2942233692).

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

2054240868 is a wasteful number, since it uses less digits than its factorization.

2054240868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45228 (or 45226 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2054240868 is about 45323.7340474061. The cubic root of 2054240868 is about 1271.2094762721.

The spelling of 2054240868 in words is "two billion, fifty-four million, two hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 131 174 262 348 393 524 786 1572 3799 7598 11397 15196 22794 45061 45588 90122 135183 180244 270366 540732 1306769 2613538 3920307 5227076 5902991 7840614 11805982 15681228 17708973 23611964 35417946 70835892 171186739 342373478 513560217 684746956 1027120434 2054240868