2011052000 has 96 divisors (see below), whose sum is σ = 4978078560. Its totient is φ = 798412800.

The previous prime is 2011051997. The next prime is 2011052003. The reversal of 2011052000 is 2501102.

It is an interprime number because it is at equal distance from previous prime (2011051997) and next prime (2011052003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011052003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554192 + ... + 557808.

It is an arithmetic number, because the mean of its divisors is an integer number (51854985).

Almost surely, 2^2011052000 is an apocalyptic number.

2011052000 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 2011052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489039280).

2011052000 is an abundant number, since it is smaller than the sum of its proper divisors (2967026560).

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

2011052000 is a wasteful number, since it uses less digits than its factorization.

2011052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2011052000 is about 44844.7544312599. The cubic root of 2011052000 is about 1262.2375626777.

Adding to 2011052000 its reverse (2501102), we get a palindrome (2013553102).

The spelling of 2011052000 in words is "two billion, eleven million, fifty-two thousand".