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2740539648 = 2837113383
BaseRepresentation
bin1010001101011001…
…0101000100000000
321001222210211122110
42203112111010000
521103034232043
61131535135320
7124625126340
oct24326250400
97058724573
102740539648
111186a66000
12645974540
13348a0bac2
141bdd86d20
151108e1b33
hexa3595100

2740539648 has 288 divisors, whose sum is σ = 9192701952. Its totient is φ = 709969920.

The previous prime is 2740539629. The next prime is 2740539649. The reversal of 2740539648 is 8469350472.

It is a super-3 number, since 3×27405396483 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2740539597 and 2740539606.

It is not an unprimeable number, because it can be changed into a prime (2740539649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7155265 + ... + 7155647.

It is an arithmetic number, because the mean of its divisors is an integer number (31919104).

Almost surely, 22740539648 is an apocalyptic number.

2740539648 is a gapful number since it is divisible by the number (28) 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 2740539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596350976).

2740539648 is an abundant number, since it is smaller than the sum of its proper divisors (6452162304).

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

2740539648 is an equidigital number, since it uses as much as digits as its factorization.

2740539648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 2740539648 is about 52350.1637819788. The cubic root of 2740539648 is about 1399.4112572123.

The spelling of 2740539648 in words is "two billion, seven hundred forty million, five hundred thirty-nine thousand, six hundred forty-eight".