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2080306800 = 2434521113449
BaseRepresentation
bin111101111111110…
…1111011001110000
312100222110112110000
41323333233121300
513230024304200
6542232110000
7102360213255
oct17377573160
95328415400
102080306800
11978308320
124a0835300
13271cb4290
1415a40142c
15c2977300
hex7bfef670

2080306800 has 600 divisors, whose sum is σ = 8790843600. Its totient is φ = 464486400.

The previous prime is 2080306757. The next prime is 2080306807. The reversal of 2080306800 is 86030802.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080306807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4632976 + ... + 4633424.

It is an arithmetic number, because the mean of its divisors is an integer number (14651406).

Almost surely, 22080306800 is an apocalyptic number.

2080306800 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 2080306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395421800).

2080306800 is an abundant number, since it is smaller than the sum of its proper divisors (6710536800).

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

2080306800 is a wasteful number, since it uses less digits than its factorization.

2080306800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2080306800 is about 45610.3803974490. The cubic root of 2080306800 is about 1276.5636179787.

The spelling of 2080306800 in words is "two billion, eighty million, three hundred six thousand, eight hundred".