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2480110842 = 23111073311061
BaseRepresentation
bin1001001111010011…
…0111110011111010
320101211202200111010
42103310313303322
520034402021332
61050033214350
7115313410566
oct22364676372
96354680433
102480110842
111062a59a90
125927013b6
13306a87611
141975546a6
15e7aec9cc
hex93d37cfa

2480110842 has 64 divisors (see below), whose sum is σ = 5483386368. Its totient is φ = 741576000.

The previous prime is 2480110823. The next prime is 2480110847.

2480110842 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2480110847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2336992 + ... + 2338052.

It is an arithmetic number, because the mean of its divisors is an integer number (85677912).

Almost surely, 22480110842 is an apocalyptic number.

2480110842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2480110842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741693184).

2480110842 is an abundant number, since it is smaller than the sum of its proper divisors (3003275526).

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

2480110842 is a wasteful number, since it uses less digits than its factorization.

2480110842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2480110842 is about 49800.7112599810. The cubic root of 2480110842 is about 1353.6000559143.

The spelling of 2480110842 in words is "two billion, four hundred eighty million, one hundred ten thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 331 642 662 993 1061 1177 1986 2122 2354 3183 3531 3641 6366 7062 7282 10923 11671 21846 23342 35013 35417 70026 70834 106251 113527 212502 227054 340581 351191 389587 681162 702382 779174 1053573 1168761 1248797 2107146 2337522 2497594 3746391 3863101 7492782 7726202 11589303 23178606 37577437 75154874 112732311 225464622 413351807 826703614 1240055421 2480110842