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2066442480 = 243251729931
BaseRepresentation
bin111101100101011…
…0110100011110000
312100000101011011200
41323022312203300
513213002124410
6541015011200
7102131320434
oct17312664360
95300334150
102066442480
119704a8903
12498069b00
1326c16b83b
141586329c4
15c16393c0
hex7b2b68f0

2066442480 has 180 divisors, whose sum is σ = 7372781832. Its totient is φ = 518584320.

The previous prime is 2066442449. The next prime is 2066442503. The reversal of 2066442480 is 842446602.

It is a happy number.

2066442480 is a `hidden beast` number, since 2 + 0 + 6 + 644 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 203115 + ... + 213045.

Almost surely, 22066442480 is an apocalyptic number.

2066442480 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 2066442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686390916).

2066442480 is an abundant number, since it is smaller than the sum of its proper divisors (5306339352).

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

2066442480 is a wasteful number, since it uses less digits than its factorization.

2066442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2066442480 is about 45458.1398651551. The cubic root of 2066442480 is about 1273.7213848548.

The spelling of 2066442480 in words is "two billion, sixty-six million, four hundred forty-two thousand, four hundred eighty".