2533440900 has 144 divisors (see below), whose sum is σ = 7598624768. Its totient is φ = 651024000.

The previous prime is 2533440851. The next prime is 2533440911. The reversal of 2533440900 is 90443352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3077889 + ... + 3078711.

Almost surely, 2^2533440900 is an apocalyptic number.

2533440900 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 2533440900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799312384).

2533440900 is an abundant number, since it is smaller than the sum of its proper divisors (5065183868).

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

2533440900 is a wasteful number, since it uses less digits than its factorization.

2533440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2533440900 is about 50333.2981236080. The cubic root of 2533440900 is about 1363.2335292117.

The spelling of 2533440900 in words is "two billion, five hundred thirty-three million, four hundred forty thousand, nine hundred".