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2543566480 = 2457213193771
BaseRepresentation
bin1001011110011011…
…1011111010010000
320120021011120020221
42113212323322100
520202123111410
61100221242424
7120013646500
oct22746737220
96507146227
102543566480
111095860164
125aba03414
13316c74430
141a1b51a00
15ed4844da
hex979bbe90

2543566480 has 480 divisors, whose sum is σ = 8121980160. Its totient is φ = 731566080.

The previous prime is 2543566477. The next prime is 2543566483. The reversal of 2543566480 is 846653452.

It is an interprime number because it is at equal distance from previous prime (2543566477) and next prime (2543566483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543566483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35824845 + ... + 35824915.

It is an arithmetic number, because the mean of its divisors is an integer number (16920792).

Almost surely, 22543566480 is an apocalyptic number.

2543566480 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 2543566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060990080).

2543566480 is an abundant number, since it is smaller than the sum of its proper divisors (5578413680).

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

2543566480 is a wasteful number, since it uses less digits than its factorization.

2543566480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The square root of 2543566480 is about 50433.7831220304. The cubic root of 2543566480 is about 1365.0472918088.

The spelling of 2543566480 in words is "two billion, five hundred forty-three million, five hundred sixty-six thousand, four hundred eighty".