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2555331204240 = 2432537113848857
BaseRepresentation
bin100101001011110101100…
…110111101010010010000
3100001021202102110222012100
4211023311212331102100
5313331304242013430
65233523012000400
7352421326566603
oct45136546752220
910037672428170
102555331204240
118a5789935a51
123532a7300100
13156c74ab5689
148b97047c33a
154670b531960
hex252f59bd490

2555331204240 has 240 divisors, whose sum is σ = 8891597405808. Its totient is φ = 657136779264.

The previous prime is 2555331204191. The next prime is 2555331204241. The reversal of 2555331204240 is 424021335552.

2555331204240 is a `hidden beast` number, since 2 + 5 + 553 + 3 + 1 + 20 + 42 + 40 = 666.

2555331204240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33942903696 + 2521388300544 = 184236^2 + 1587888^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2555331204195 and 2555331204204.

It is not an unprimeable number, because it can be changed into a prime (2555331204241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2585892 + ... + 3434748.

Almost surely, 22555331204240 is an apocalyptic number.

2555331204240 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 2555331204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445798702904).

2555331204240 is an abundant number, since it is smaller than the sum of its proper divisors (6336266201568).

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

2555331204240 is a wasteful number, since it uses less digits than its factorization.

2555331204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849026 (or 849017 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2555331204240 its reverse (424021335552), we get a palindrome (2979352539792).

The spelling of 2555331204240 in words is "two trillion, five hundred fifty-five billion, three hundred thirty-one million, two hundred four thousand, two hundred forty".