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2556036000 = 2534537323

2556036000 has 960 divisors, whose sum is σ = 11416204800. Its totient is φ = 558835200.

The previous prime is 2556035983. The next prime is 2556036001. The reversal of 2556036000 is 6306552.

2556036000 is a `hidden beast` number, since 2 + 5 + 56 + 0 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556036001) 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 159 ways as a sum of consecutive naturals, for example, 111131989 + ... + 111132011.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 22556036000 is an apocalyptic number.

2556036000 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 2556036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708102400).

2556036000 is an abundant number, since it is smaller than the sum of its proper divisors (8860168800).

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

2556036000 is an equidigital number, since it uses as much as digits as its factorization.

2556036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2556036000 is about 50557.2546723020. The cubic root of 2556036000 is about 1367.2743150206.

The spelling of 2556036000 in words is "two billion, five hundred fifty-six million, thirty-six thousand".