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2094842880 = 210325132269
BaseRepresentation
bin111110011011100…
…1100010000000000
312101222211001012100
41330313030100000
513242234433010
6543511430400
7102624604434
oct17467142000
95358731170
102094842880
11985536509
124a5685400
13275003700
1415c3069c4
15c3d992c0
hex7cdcc400

2094842880 has 396 divisors, whose sum is σ = 7889097060. Its totient is φ = 513736704.

The previous prime is 2094842873. The next prime is 2094842881. The reversal of 2094842880 is 882484902.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 920272896 + 1174569984 = 30336^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2094842881) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7787386 + ... + 7787654.

Almost surely, 22094842880 is an apocalyptic number.

2094842880 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 2094842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944548530).

2094842880 is an abundant number, since it is smaller than the sum of its proper divisors (5794254180).

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

2094842880 is a wasteful number, since it uses less digits than its factorization.

2094842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2094842880 is about 45769.4535689471. The cubic root of 2094842880 is about 1279.5300358026.

The spelling of 2094842880 in words is "two billion, ninety-four million, eight hundred forty-two thousand, eight hundred eighty".