2533440000 has 800 divisors, whose sum is σ = 10738062720. Its totient is φ = 516096000.

The previous prime is 2533439957. The next prime is 2533440023. The reversal of 2533440000 is 443352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87359986 + ... + 87360014.

Almost surely, 2^2533440000 is an apocalyptic number.

2533440000 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 2533440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369031360).

2533440000 is an abundant number, since it is smaller than the sum of its proper divisors (8204622720).

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

2533440000 is an equidigital number, since it uses as much as digits as its factorization.

2533440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2533440000 is about 50333.2891832036. The cubic root of 2533440000 is about 1363.2333677829.

Adding to 2533440000 its reverse (443352), we get a palindrome (2533883352).

The spelling of 2533440000 in words is "two billion, five hundred thirty-three million, four hundred forty thousand".