2190506976 has 216 divisors, whose sum is σ = 7515963000. Its totient is φ = 625750272.

The previous prime is 2190506963. The next prime is 2190507043. The reversal of 2190506976 is 6796050912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 378150 + ... + 383898.

It is an arithmetic number, because the mean of its divisors is an integer number (34796125).

Almost surely, 2^2190506976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757981500).

2190506976 is an abundant number, since it is smaller than the sum of its proper divisors (5325456024).

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

2190506976 is an equidigital number, since it uses as much as digits as its factorization.

2190506976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2190506976 is about 46802.8522207782. The cubic root of 2190506976 is about 1298.7180609413.

The spelling of 2190506976 in words is "two billion, one hundred ninety million, five hundred six thousand, nine hundred seventy-six".