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2452340222640 = 2432571173605947
BaseRepresentation
bin100011101011111010110…
…111100010101010110000
322200102220210210000112100
4203223322313202222300
5310134343044111030
65114331201500400
7342114163646250
oct43537267425260
98612823700470
102452340222640
1186603913a130
12337343941700
1314a34072b549
14869a00c1960
1543bce935360
hex23afade2ab0

2452340222640 has 480 divisors, whose sum is σ = 10408654803456. Its totient is φ = 502595850240.

The previous prime is 2452340222603. The next prime is 2452340222641. The reversal of 2452340222640 is 462220432542.

2452340222640 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 3 + 4 + 0 + 2 + 2 + 2 + 640 = 666.

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 = 2452340222595 and 2452340222604.

It is not an unprimeable number, because it can be changed into a prime (2452340222641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3744147 + ... + 4350093.

Almost surely, 22452340222640 is an apocalyptic number.

2452340222640 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 2452340222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204327401728).

2452340222640 is an abundant number, since it is smaller than the sum of its proper divisors (7956314580816).

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

2452340222640 is a wasteful number, since it uses less digits than its factorization.

2452340222640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606057 (or 606048 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 2452340222640 in words is "two trillion, four hundred fifty-two billion, three hundred forty million, two hundred twenty-two thousand, six hundred forty".