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2097043200 = 28325272743
BaseRepresentation
bin111110011111110…
…0101011100000000
312102010221211110200
41330333211130000
513243320340300
6544030525200
7102652400400
oct17477453400
95363854420
102097043200
119867a965a
124a6366800
132755c4085
1415c71a800
15c4181200
hex7cfe5700

2097043200 has 486 divisors, whose sum is σ = 8733206664. Its totient is φ = 478679040.

The previous prime is 2097043189. The next prime is 2097043217. The reversal of 2097043200 is 23407902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822029 + ... + 2822771.

Almost surely, 22097043200 is an apocalyptic number.

2097043200 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 2097043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366603332).

2097043200 is an abundant number, since it is smaller than the sum of its proper divisors (6636163464).

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

2097043200 is a wasteful number, since it uses less digits than its factorization.

2097043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2097043200 is about 45793.4842526751. The cubic root of 2097043200 is about 1279.9778642005.

The spelling of 2097043200 in words is "two billion, ninety-seven million, forty-three thousand, two hundred".