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2097049920 = 26357313997
BaseRepresentation
bin111110011111110…
…0111000101000000
312102010222011200120
41330333213011000
513243321044140
6544031020240
7102652426110
oct17477470500
95363864616
102097049920
11986803709
124a636a680
132755c7154
1415c71d040
15c41831d0
hex7cfe7140

2097049920 has 224 divisors, whose sum is σ = 7641262848. Its totient is φ = 477315072.

The previous prime is 2097049907. The next prime is 2097049939. The reversal of 2097049920 is 299407902.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 2102862 + ... + 2103858.

Almost surely, 22097049920 is an apocalyptic number.

2097049920 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 2097049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820631424).

2097049920 is an abundant number, since it is smaller than the sum of its proper divisors (5544212928).

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

2097049920 is a wasteful number, since it uses less digits than its factorization.

2097049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 2097049920 is about 45793.5576255001. The cubic root of 2097049920 is about 1279.9792314339.

The spelling of 2097049920 in words is "two billion, ninety-seven million, forty-nine thousand, nine hundred twenty".