2148528000 has 256 divisors, whose sum is σ = 7544197440. Its totient is φ = 539033600.

The previous prime is 2148527993. The next prime is 2148528029. The reversal of 2148528000 is 8258412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 814684 + ... + 817316.

Almost surely, 2^2148528000 is an apocalyptic number.

2148528000 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 2148528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772098720).

2148528000 is an abundant number, since it is smaller than the sum of its proper divisors (5395669440).

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

2148528000 is a wasteful number, since it uses less digits than its factorization.

2148528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2148528000 is about 46352.2167754682. The cubic root of 2148528000 is about 1290.3682621462.

The spelling of 2148528000 in words is "two billion, one hundred forty-eight million, five hundred twenty-eight thousand".