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2730324480 = 293513232941
BaseRepresentation
bin1010001010111101…
…0111001000000000
321001021120212001220
42202233113020000
521042430340410
61130532155040
7124442242452
oct24257271000
97037525056
102730324480
111181219214
12642468a80
13346873320
141bc8882d2
1510ea75070
hexa2bd7200

2730324480 has 640 divisors, whose sum is σ = 10394334720. Its totient is φ = 605552640.

The previous prime is 2730324479. The next prime is 2730324511. The reversal of 2730324480 is 844230372.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66593260 + ... + 66593300.

It is an arithmetic number, because the mean of its divisors is an integer number (16241148).

Almost surely, 22730324480 is an apocalyptic number.

2730324480 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 2730324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197167360).

2730324480 is an abundant number, since it is smaller than the sum of its proper divisors (7664010240).

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

2730324480 is a wasteful number, since it uses less digits than its factorization.

2730324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2730324480 is about 52252.5069255055. The cubic root of 2730324480 is about 1397.6703568448.

The spelling of 2730324480 in words is "two billion, seven hundred thirty million, three hundred twenty-four thousand, four hundred eighty".