2054128000 has 256 divisors, whose sum is σ = 5585112000. Its totient is φ = 748339200.

The previous prime is 2054127991. The next prime is 2054128007. The reversal of 2054128000 is 8214502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054128007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8815884 + ... + 8816116.

Almost surely, 2^2054128000 is an apocalyptic number.

2054128000 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 2054128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792556000).

2054128000 is an abundant number, since it is smaller than the sum of its proper divisors (3530984000).

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

2054128000 is a wasteful number, since it uses less digits than its factorization.

2054128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2054128000 is about 45322.4888990002. The cubic root of 2054128000 is about 1271.1861941112.

The spelling of 2054128000 in words is "two billion, fifty-four million, one hundred twenty-eight thousand".