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2479530240 = 2832511171151
BaseRepresentation
bin1001001111001010…
…1010000100000000
320101210200012001100
42103302222010000
520034224431430
61050012534400
7115305442065
oct22362520400
96353605040
102479530240
1110626a2850
12592481400
13306913275
14197442c6c
15e7a35960
hex93caa100

2479530240 has 432 divisors, whose sum is σ = 9917945856. Its totient is φ = 565248000.

The previous prime is 2479530239. The next prime is 2479530259. The reversal of 2479530240 is 420359742.

It is a super-2 number, since 2×24795302402 = 12296140422148915200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2479530195 and 2479530204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153665 + ... + 2154815.

It is an arithmetic number, because the mean of its divisors is an integer number (22958208).

Almost surely, 22479530240 is an apocalyptic number.

2479530240 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 2479530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958972928).

2479530240 is an abundant number, since it is smaller than the sum of its proper divisors (7438415616).

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

2479530240 is a wasteful number, since it uses less digits than its factorization.

2479530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2479530240 is about 49794.8816646852. The cubic root of 2479530240 is about 1353.4944202814.

Adding to 2479530240 its reverse (420359742), we get a palindrome (2899889982).

The spelling of 2479530240 in words is "two billion, four hundred seventy-nine million, five hundred thirty thousand, two hundred forty".