2052510000 has 200 divisors, whose sum is σ = 6842609664. Its totient is φ = 529440000.

The previous prime is 2052509989. The next prime is 2052510007. The reversal of 2052510000 is 152502.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052510007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 928897 + ... + 931103.

Almost surely, 2^2052510000 is an apocalyptic number.

2052510000 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 2052510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421304832).

2052510000 is an abundant number, since it is smaller than the sum of its proper divisors (4790099664).

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

2052510000 is a wasteful number, since it uses less digits than its factorization.

2052510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2052510000 is about 45304.6355244141. The cubic root of 2052510000 is about 1270.8523428731.

Adding to 2052510000 its reverse (152502), we get a palindrome (2052662502).

The spelling of 2052510000 in words is "two billion, fifty-two million, five hundred ten thousand".