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2066381280 = 253451783113
BaseRepresentation
bin111101100101010…
…0111100111100000
312100000021001020000
41323022213213200
513212443200110
6541013420000
7102130644135
oct17312474740
95300231200
102066381280
11970466927
1249803a600
1326c149a22
1415861858c
15c16261c0
hex7b2a79e0

2066381280 has 480 divisors, whose sum is σ = 7883767584. Its totient is φ = 507838464.

The previous prime is 2066381267. The next prime is 2066381311. The reversal of 2066381280 is 821836602.

2066381280 is a `hidden beast` number, since 2 + 0 + 6 + 638 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 18286504 + ... + 18286616.

Almost surely, 22066381280 is an apocalyptic number.

2066381280 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 2066381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941883792).

2066381280 is an abundant number, since it is smaller than the sum of its proper divisors (5817386304).

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

2066381280 is a wasteful number, since it uses less digits than its factorization.

2066381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2066381280 is about 45457.4667134014. The cubic root of 2066381280 is about 1273.7088105039.

The spelling of 2066381280 in words is "two billion, sixty-six million, three hundred eighty-one thousand, two hundred eighty".