2190926880 has 288 divisors, whose sum is σ = 7968227904. Its totient is φ = 568083456.

The previous prime is 2190926851. The next prime is 2190926897. The reversal of 2190926880 is 886290912.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1437799 + ... + 1439321.

It is an arithmetic number, because the mean of its divisors is an integer number (27667458).

Almost surely, 2^2190926880 is an apocalyptic number.

2190926880 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 2190926880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2190926880 is an abundant number, since it is smaller than the sum of its proper divisors (5777301024).

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

2190926880 is a wasteful number, since it uses less digits than its factorization.

2190926880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2190926880 is about 46807.3378862759. The cubic root of 2190926880 is about 1298.8010405244.

The spelling of 2190926880 in words is "two billion, one hundred ninety million, nine hundred twenty-six thousand, eight hundred eighty".