2130027840 has 280 divisors, whose sum is σ = 7785168072. Its totient is φ = 552407040.

The previous prime is 2130027793. The next prime is 2130027881. The reversal of 2130027840 is 487200312.

It can be written as a sum of positive squares in 4 ways, for example, as 760435776 + 1369592064 = 27576^2 + 37008^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 957930 + ... + 960150.

Almost surely, 2^2130027840 is an apocalyptic number.

2130027840 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 2130027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892584036).

2130027840 is an abundant number, since it is smaller than the sum of its proper divisors (5655140232).

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

2130027840 is a wasteful number, since it uses less digits than its factorization.

2130027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2130027840 is about 46152.2246484392. The cubic root of 2130027840 is about 1286.6539568785.

The spelling of 2130027840 in words is "two billion, one hundred thirty million, twenty-seven thousand, eight hundred forty".