2533789440 has 432 divisors, whose sum is σ = 10794184128. Its totient is φ = 534380544.

The previous prime is 2533789417. The next prime is 2533789483. The reversal of 2533789440 is 449873352.

2533789440 is a `hidden beast` number, since 2 + 533 + 78 + 9 + 4 + 40 = 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 47 ways as a sum of consecutive naturals, for example, 1047112 + ... + 1049528.

Almost surely, 2^2533789440 is an apocalyptic number.

2533789440 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 2533789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397092064).

2533789440 is an abundant number, since it is smaller than the sum of its proper divisors (8260394688).

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

2533789440 is a wasteful number, since it uses less digits than its factorization.

2533789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2533789440 is about 50336.7603248362. The cubic root of 2533789440 is about 1363.2960422977.

The spelling of 2533789440 in words is "two billion, five hundred thirty-three million, seven hundred eighty-nine thousand, four hundred forty".