2011252000 has 96 divisors (see below), whose sum is σ = 4967149824. Its totient is φ = 800352000.

The previous prime is 2011251989. The next prime is 2011252013. The reversal of 2011252000 is 2521102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842809 + ... + 845191.

It is an arithmetic number, because the mean of its divisors is an integer number (51741144).

Almost surely, 2^2011252000 is an apocalyptic number.

2011252000 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 2011252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483574912).

2011252000 is an abundant number, since it is smaller than the sum of its proper divisors (2955897824).

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

2011252000 is a wasteful number, since it uses less digits than its factorization.

2011252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2011252000 is about 44846.9842910312. The cubic root of 2011252000 is about 1262.2794046497.

Adding to 2011252000 its reverse (2521102), we get a palindrome (2013773102).

The spelling of 2011252000 in words is "two billion, eleven million, two hundred fifty-two thousand".