2167909920 has 576 divisors, whose sum is σ = 8658389376. Its totient is φ = 507617280.

The previous prime is 2167909903. The next prime is 2167909969. The reversal of 2167909920 is 299097612.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15824092 + ... + 15824228.

It is an arithmetic number, because the mean of its divisors is an integer number (15031926).

Almost surely, 2^2167909920 is an apocalyptic number.

2167909920 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 2167909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329194688).

2167909920 is an abundant number, since it is smaller than the sum of its proper divisors (6490479456).

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

2167909920 is a wasteful number, since it uses less digits than its factorization.

2167909920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 2167909920 is about 46560.8195804155. The cubic root of 2167909920 is about 1294.2367997955.

The spelling of 2167909920 in words is "two billion, one hundred sixty-seven million, nine hundred nine thousand, nine hundred twenty".