2190027984 has 160 divisors (see below), whose sum is σ = 6171033600. Its totient is φ = 667223040.

The previous prime is 2190027979. The next prime is 2190028031. The reversal of 2190027984 is 4897200912.

2190027984 = 9747² + 9748² + ... + 9769².

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3045577 + ... + 3046295.

It is an arithmetic number, because the mean of its divisors is an integer number (38568960).

Almost surely, 2^2190027984 is an apocalyptic number.

2190027984 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 2190027984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085516800).

2190027984 is an abundant number, since it is smaller than the sum of its proper divisors (3981005616).

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

2190027984 is a wasteful number, since it uses less digits than its factorization.

2190027984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2190027984 is about 46797.7348169759. The cubic root of 2190027984 is about 1298.6233916986.

The spelling of 2190027984 in words is "two billion, one hundred ninety million, twenty-seven thousand, nine hundred eighty-four".