2130985584 has 480 divisors, whose sum is σ = 8037818880. Its totient is φ = 530758656.

The previous prime is 2130985561. The next prime is 2130985589. The reversal of 2130985584 is 4855890312.

2130985584 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 98 + 558 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130985589) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6722194 + ... + 6722510.

It is an arithmetic number, because the mean of its divisors is an integer number (16745456).

Almost surely, 2^2130985584 is an apocalyptic number.

2130985584 is a gapful number since it is divisible by the number (24) 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 2130985584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018909440).

2130985584 is an abundant number, since it is smaller than the sum of its proper divisors (5906833296).

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

2130985584 is a wasteful number, since it uses less digits than its factorization.

2130985584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2130985584 is about 46162.5994068792. The cubic root of 2130985584 is about 1286.8467713316.

The spelling of 2130985584 in words is "two billion, one hundred thirty million, nine hundred eighty-five thousand, five hundred eighty-four".