2533405440000 has 240 divisors, whose sum is σ = 8439934262760. Its totient is φ = 675573760000.

The previous prime is 2533405439969. The next prime is 2533405440073. The reversal of 2533405440000 is 445043352.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2533405440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3510130 + ... + 4169870.

Almost surely, 2^{2533405440000} is an apocalyptic number.

2533405440000 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 2533405440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219967131380).

2533405440000 is an abundant number, since it is smaller than the sum of its proper divisors (5906528822760).

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

2533405440000 is an frugal number, since it uses more digits than its factorization.

2533405440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659786 (or 659751 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 2533405440000 in words is "two trillion, five hundred thirty-three billion, four hundred five million, four hundred forty thousand".