2052153200 has 120 divisors (see below), whose sum is σ = 5091193488. Its totient is φ = 794327040.

The previous prime is 2052153149. The next prime is 2052153209. The reversal of 2052153200 is 23512502.

It is a super-2 number, since 2×2052153200² = 8422665512540480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052153209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4632179 + ... + 4632621.

Almost surely, 2^2052153200 is an apocalyptic number.

2052153200 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 2052153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545596744).

2052153200 is an abundant number, since it is smaller than the sum of its proper divisors (3039040288).

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

2052153200 is a wasteful number, since it uses less digits than its factorization.

2052153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2052153200 is about 45300.6975663731. The cubic root of 2052153200 is about 1270.7786986695.

Adding to 2052153200 its reverse (23512502), we get a palindrome (2075665702).

The spelling of 2052153200 in words is "two billion, fifty-two million, one hundred fifty-three thousand, two hundred".