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2541660804 = 2232294615281
BaseRepresentation
bin1001011101111110…
…1010101010000100
320120010120202011100
42113133222222010
520201131121204
61100112340100
7116661521544
oct22737525204
96503522140
102541660804
111094779421
125ab244630
13316757c07
141a17b7324
15ed209a39
hex977eaa84

2541660804 has 72 divisors (see below), whose sum is σ = 6661975320. Its totient is φ = 816076800.

The previous prime is 2541660787. The next prime is 2541660827. The reversal of 2541660804 is 4080661452.

2541660804 is a `hidden beast` number, since 2 + 5 + 41 + 6 + 608 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 2513016900 = 5352^2 + 50130^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478644 + ... + 483924.

It is an arithmetic number, because the mean of its divisors is an integer number (92527435).

Almost surely, 22541660804 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 2541660804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330987660).

2541660804 is an abundant number, since it is smaller than the sum of its proper divisors (4120314516).

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

2541660804 is a wasteful number, since it uses less digits than its factorization.

2541660804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2541660804 is about 50414.8867300126. The cubic root of 2541660804 is about 1364.7063023875.

The spelling of 2541660804 in words is "two billion, five hundred forty-one million, six hundred sixty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 461 522 922 1044 1383 1844 2766 4149 5281 5532 8298 10562 13369 15843 16596 21124 26738 31686 40107 47529 53476 63372 80214 95058 120321 153149 160428 190116 240642 306298 459447 481284 612596 918894 1378341 1837788 2434541 2756682 4869082 5513364 7303623 9738164 14607246 21910869 29214492 43821738 70601689 87643476 141203378 211805067 282406756 423610134 635415201 847220268 1270830402 2541660804