2011553200 has 60 divisors (see below), whose sum is σ = 4847676088. Its totient is φ = 802137600.

The previous prime is 2011553197. The next prime is 2011553213. The reversal of 2011553200 is 23551102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124804 + ... + 139996.

Almost surely, 2^2011553200 is an apocalyptic number.

2011553200 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 2011553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423838044).

2011553200 is an abundant number, since it is smaller than the sum of its proper divisors (2836122888).

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

2011553200 is a wasteful number, since it uses less digits than its factorization.

2011553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15542 (or 15531 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2011553200 is about 44850.3422506451. The cubic root of 2011553200 is about 1262.3424134255.

The spelling of 2011553200 in words is "two billion, eleven million, five hundred fifty-three thousand, two hundred".