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2066570240 = 21057232109
BaseRepresentation
bin111101100101101…
…0101110000000000
312100000121122102112
41323023111300000
513213020221430
6541021434452
7102132362060
oct17313256000
95300548375
102066570240
11970585899
1249810ba28
1326c1b4a37
141586673a0
15c1662195
hex7b2d5c00

2066570240 has 264 divisors, whose sum is σ = 5976912480. Its totient is φ = 671514624.

The previous prime is 2066570237. The next prime is 2066570291. The reversal of 2066570240 is 420756602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2066570197 and 2066570206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18959306 + ... + 18959414.

It is an arithmetic number, because the mean of its divisors is an integer number (22639820).

Almost surely, 22066570240 is an apocalyptic number.

2066570240 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 2066570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988456240).

2066570240 is an abundant number, since it is smaller than the sum of its proper divisors (3910342240).

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

2066570240 is a wasteful number, since it uses less digits than its factorization.

2066570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2066570240 is about 45459.5450923126. The cubic root of 2066570240 is about 1273.7476340394.

The spelling of 2066570240 in words is "two billion, sixty-six million, five hundred seventy thousand, two hundred forty".