2189652480 has 320 divisors, whose sum is σ = 7895923200. Its totient is φ = 575078400.

The previous prime is 2189652469. The next prime is 2189652503. The reversal of 2189652480 is 842569812.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5460280 + ... + 5460680.

It is an arithmetic number, because the mean of its divisors is an integer number (24674760).

Almost surely, 2^2189652480 is an apocalyptic number.

2189652480 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 2189652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947961600).

2189652480 is an abundant number, since it is smaller than the sum of its proper divisors (5706270720).

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

2189652480 is an equidigital number, since it uses as much as digits as its factorization.

2189652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2189652480 is about 46793.7226559290. The cubic root of 2189652480 is about 1298.5491664445.

It can be divided in two parts, 218965 and 2480, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 2189652480 in words is "two billion, one hundred eighty-nine million, six hundred fifty-two thousand, four hundred eighty".