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2740481495280 = 2434517232313741
BaseRepresentation
bin100111111000010001011…
…011010001000011110000
3100200222122212102021120000
4213320101123101003300
5324400001230322110
65454543153150000
7401664454235514
oct47702133210360
910628585367500
102740481495280
119672603a6001
1238315985b300
1316b570759cc9
14968d629c144
154b445e7c1c0
hex27e116d10f0

2740481495280 has 2400 divisors, whose sum is σ = 11441390704128. Its totient is φ = 604363161600.

The previous prime is 2740481495203. The next prime is 2740481495281. The reversal of 2740481495280 is 825941840472.

2740481495280 is a `hidden beast` number, since 2 + 7 + 40 + 481 + 49 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740481495281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 66841012060 + ... + 66841012100.

Almost surely, 22740481495280 is an apocalyptic number.

2740481495280 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 2740481495280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720695352064).

2740481495280 is an abundant number, since it is smaller than the sum of its proper divisors (8700909208848).

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

2740481495280 is a wasteful number, since it uses less digits than its factorization.

2740481495280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2740481495280 in words is "two trillion, seven hundred forty billion, four hundred eighty-one million, four hundred ninety-five thousand, two hundred eighty".