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2130336000 = 28325313569
BaseRepresentation
bin111111011111010…
…0101100100000000
312111110121021121100
41332332211210000
513330331223000
6551220254400
7103535362062
oct17676454400
95443537540
102130336000
119a3578a71
124b5541400
1327c47ca60
14162d05732
15c705aa00
hex7efa5900

2130336000 has 432 divisors, whose sum is σ = 8269737840. Its totient is φ = 523468800.

The previous prime is 2130335989. The next prime is 2130336023. The reversal of 2130336000 is 6330312.

It is a happy number.

2130336000 is a `hidden beast` number, since 2 + 1 + 30 + 33 + 600 + 0 = 666.

2130336000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1478248704 + 652087296 = 38448^2 + 25536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743716 + ... + 3744284.

Almost surely, 22130336000 is an apocalyptic number.

2130336000 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 2130336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134868920).

2130336000 is an abundant number, since it is smaller than the sum of its proper divisors (6139401840).

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

2130336000 is a wasteful number, since it uses less digits than its factorization.

2130336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2130336000 is about 46155.5630449895. The cubic root of 2130336000 is about 1286.7160024156.

Adding to 2130336000 its reverse (6330312), we get a palindrome (2136666312).

The spelling of 2130336000 in words is "two billion, one hundred thirty million, three hundred thirty-six thousand".