2027325600 has 324 divisors, whose sum is σ = 7412115438. Its totient is φ = 521395200.

The previous prime is 2027325581. The next prime is 2027325617. The reversal of 2027325600 is 65237202.

2027325600 is a `hidden beast` number, since 2 + 0 + 27 + 32 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1894338576 + 132987024 = 43524^2 + 11532^2 .

It is a super-2 number, since 2×2027325600² = 8220098176830720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6919054 + ... + 6919346.

Almost surely, 2^2027325600 is an apocalyptic number.

2027325600 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 2027325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706057719).

2027325600 is an abundant number, since it is smaller than the sum of its proper divisors (5384789838).

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

2027325600 is a wasteful number, since it uses less digits than its factorization.

2027325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2027325600 is about 45025.8325853060. The cubic root of 2027325600 is about 1265.6331304462.

The spelling of 2027325600 in words is "two billion, twenty-seven million, three hundred twenty-five thousand, six hundred".