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2580557056 = 287113141103
BaseRepresentation
bin1001100111010000…
…0010110100000000
320122211202212210021
42121310002310000
520241110311211
61104022143224
7120643241650
oct23164026400
96584685707
102580557056
111104725790
12600281b14
1332182624c
141a6a20360
1510183e771
hex99d02d00

2580557056 has 288 divisors, whose sum is σ = 6856851456. Its totient is φ = 940032000.

The previous prime is 2580557051. The next prime is 2580557093. The reversal of 2580557056 is 6507550852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580557051) 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, 25053901 + ... + 25054003.

It is an arithmetic number, because the mean of its divisors is an integer number (23808512).

Almost surely, 22580557056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428425728).

2580557056 is an abundant number, since it is smaller than the sum of its proper divisors (4276294400).

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

2580557056 is a wasteful number, since it uses less digits than its factorization.

2580557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 43.

The square root of 2580557056 is about 50799.1836154874. The cubic root of 2580557056 is about 1371.6326737236.

The spelling of 2580557056 in words is "two billion, five hundred eighty million, five hundred fifty-seven thousand, fifty-six".