2533894096040 has 256 divisors, whose sum is σ = 6205434624000. Its totient is φ = 928174464000.

The previous prime is 2533894096031. The next prime is 2533894096043. The reversal of 2533894096040 is 406904983352.

It is a Cunningham number, because it is equal to 1591821²-1.

It is not an unprimeable number, because it can be changed into a prime (2533894096043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1563166430 + ... + 1563168050.

It is an arithmetic number, because the mean of its divisors is an integer number (24239979000).

Almost surely, 2^{2533894096040} is an apocalyptic number.

2533894096040 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 2533894096040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102717312000).

2533894096040 is an abundant number, since it is smaller than the sum of its proper divisors (3671540527960).

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

2533894096040 is a wasteful number, since it uses less digits than its factorization.

2533894096040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 53.

The spelling of 2533894096040 in words is "two trillion, five hundred thirty-three billion, eight hundred ninety-four million, ninety-six thousand, forty".