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2489066880 = 27351931271
BaseRepresentation
bin1001010001011100…
…0010010110000000
320102110121200212020
42110113002112000
520044200120010
61050553201440
7115452501516
oct22427022600
96373550766
102489066880
111068016873
12595700280
133088a1c51
141988064b6
15e87bb470
hex945c2580

2489066880 has 384 divisors, whose sum is σ = 8751110400. Its totient is φ = 599961600.

The previous prime is 2489066857. The next prime is 2489066929. The reversal of 2489066880 is 886609842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×24890668802 = 12390907866225868800, which contains 22 as substring.

It is a congruent number.

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, 35057245 + ... + 35057315.

It is an arithmetic number, because the mean of its divisors is an integer number (22789350).

Almost surely, 22489066880 is an apocalyptic number.

2489066880 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 2489066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375555200).

2489066880 is an abundant number, since it is smaller than the sum of its proper divisors (6262043520).

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

2489066880 is a wasteful number, since it uses less digits than its factorization.

2489066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 2489066880 is about 49890.5490047965. The cubic root of 2489066880 is about 1355.2274469206.

The spelling of 2489066880 in words is "two billion, four hundred eighty-nine million, sixty-six thousand, eight hundred eighty".