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2381006880 = 25335778737
BaseRepresentation
bin1000110111101011…
…0100100000100000
320010221021200102000
42031322310200200
514334014210010
61032133124000
7113001140010
oct21572644040
96127250360
102381006880
11101201a78a
12565489600
132bc398915
14188317c40
15de0737c0
hex8deb4820

2381006880 has 192 divisors, whose sum is σ = 9524148480. Its totient is φ = 544223232.

The previous prime is 2381006843. The next prime is 2381006959. The reversal of 2381006880 is 886001832.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9129 + ... + 69608.

It is an arithmetic number, because the mean of its divisors is an integer number (49604940).

Almost surely, 22381006880 is an apocalyptic number.

2381006880 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 2381006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762074240).

2381006880 is an abundant number, since it is smaller than the sum of its proper divisors (7143141600).

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

2381006880 is a wasteful number, since it uses less digits than its factorization.

2381006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78768 (or 78754 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2381006880 is about 48795.5620932888. The cubic root of 2381006880 is about 1335.3247032426.

The spelling of 2381006880 in words is "two billion, three hundred eighty-one million, six thousand, eight hundred eighty".