2148410880 has 720 divisors, whose sum is σ = 9496762704. Its totient is φ = 443842560.

The previous prime is 2148410861. The next prime is 2148410893. The reversal of 2148410880 is 880148412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12418474 + ... + 12418646.

Almost surely, 2^2148410880 is an apocalyptic number.

2148410880 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 2148410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748381352).

2148410880 is an abundant number, since it is smaller than the sum of its proper divisors (7348351824).

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

2148410880 is a wasteful number, since it uses less digits than its factorization.

2148410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2148410880 is about 46350.9533882530. The cubic root of 2148410880 is about 1290.3448149803.

The spelling of 2148410880 in words is "two billion, one hundred forty-eight million, four hundred ten thousand, eight hundred eighty".