2027132800 has 384 divisors, whose sum is σ = 6587078400. Its totient is φ = 597196800.

The previous prime is 2027132777. The next prime is 2027132831. The reversal of 2027132800 is 82317202.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4681384 + ... + 4681816.

It is an arithmetic number, because the mean of its divisors is an integer number (17153850).

Almost surely, 2^2027132800 is an apocalyptic number.

2027132800 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 2027132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293539200).

2027132800 is an abundant number, since it is smaller than the sum of its proper divisors (4559945600).

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

2027132800 is a wasteful number, since it uses less digits than its factorization.

2027132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2027132800 is about 45023.6915412319. The cubic root of 2027132800 is about 1265.5930083261.

The spelling of 2027132800 in words is "two billion, twenty-seven million, one hundred thirty-two thousand, eight hundred".