2533394880 has 280 divisors, whose sum is σ = 9225363312. Its totient is φ = 659570688.

The previous prime is 2533394867. The next prime is 2533394947. The reversal of 2533394880 is 884933352.

2533394880 is a `hidden beast` number, since 2 + 533 + 39 + 4 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1113424 + ... + 1115696.

Almost surely, 2^2533394880 is an apocalyptic number.

2533394880 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 2533394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612681656).

2533394880 is an abundant number, since it is smaller than the sum of its proper divisors (6691968432).

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

2533394880 is a wasteful number, since it uses less digits than its factorization.

2533394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2533394880 is about 50332.8409688943. The cubic root of 2533394880 is about 1363.2252747744.

The spelling of 2533394880 in words is "two billion, five hundred thirty-three million, three hundred ninety-four thousand, eight hundred eighty".