2053128000 has 672 divisors, whose sum is σ = 8600626944. Its totient is φ = 422400000.

The previous prime is 2053127987. The next prime is 2053128041. The reversal of 2053128000 is 8213502.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20327950 + ... + 20328050.

It is an arithmetic number, because the mean of its divisors is an integer number (12798552).

Almost surely, 2^2053128000 is an apocalyptic number.

2053128000 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 2053128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300313472).

2053128000 is an abundant number, since it is smaller than the sum of its proper divisors (6547498944).

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

2053128000 is a wasteful number, since it uses less digits than its factorization.

2053128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2053128000 is about 45311.4555052031. The cubic root of 2053128000 is about 1270.9798790663.

It can be divided in two parts, 205312 and 8000, that added together give a palindrome (213312).

The spelling of 2053128000 in words is "two billion, fifty-three million, one hundred twenty-eight thousand".