2148153280 has 224 divisors, whose sum is σ = 6390558720. Its totient is φ = 669634560.

The previous prime is 2148153257. The next prime is 2148153299. The reversal of 2148153280 is 823518412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2148153280² = 9229125028749516800, which contains 22 as substring.

It is a congruent number.

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, 2067001 + ... + 2068039.

It is an arithmetic number, because the mean of its divisors is an integer number (28529280).

Almost surely, 2^2148153280 is an apocalyptic number.

2148153280 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 2148153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

2148153280 is an abundant number, since it is smaller than the sum of its proper divisors (4242405440).

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

2148153280 is a wasteful number, since it uses less digits than its factorization.

2148153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2148153280 is about 46348.1745055833. The cubic root of 2148153280 is about 1290.2932410296.

The spelling of 2148153280 in words is "two billion, one hundred forty-eight million, one hundred fifty-three thousand, two hundred eighty".