2533141800 has 288 divisors, whose sum is σ = 10146314880. Its totient is φ = 553766400.

The previous prime is 2533141789. The next prime is 2533141811. The reversal of 2533141800 is 81413352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2533141789) and next prime (2533141811).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 285430 + ... + 294170.

It is an arithmetic number, because the mean of its divisors is an integer number (35230260).

Almost surely, 2^2533141800 is an apocalyptic number.

2533141800 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 2533141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073157440).

2533141800 is an abundant number, since it is smaller than the sum of its proper divisors (7613173080).

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

2533141800 is a wasteful number, since it uses less digits than its factorization.

2533141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2533141800 is about 50330.3268417760. The cubic root of 2533141800 is about 1363.1798789639.

The spelling of 2533141800 in words is "two billion, five hundred thirty-three million, one hundred forty-one thousand, eight hundred".