2533137200 has 120 divisors (see below), whose sum is σ = 6928056576. Its totient is φ = 881056000.

The previous prime is 2533137199. The next prime is 2533137203. The reversal of 2533137200 is 27313352.

It is a self number, because there is not a number n which added to its sum of digits gives 2533137200.

It is not an unprimeable number, because it can be changed into a prime (2533137203) 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, 88685 + ... + 113715.

Almost surely, 2^2533137200 is an apocalyptic number.

2533137200 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 2533137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464028288).

2533137200 is an abundant number, since it is smaller than the sum of its proper divisors (4394919376).

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

2533137200 is a wasteful number, since it uses less digits than its factorization.

2533137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25083 (or 25072 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 2533137200 is about 50330.2811436614. The cubic root of 2533137200 is about 1363.1790538185.

The spelling of 2533137200 in words is "two billion, five hundred thirty-three million, one hundred thirty-seven thousand, two hundred".