2533643484240 has 320 divisors, whose sum is σ = 8680564408320. Its totient is φ = 606205624320.

The previous prime is 2533643484233. The next prime is 2533643484269. The reversal of 2533643484240 is 424843463352.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2533643484240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93967881 + ... + 93994839.

It is an arithmetic number, because the mean of its divisors is an integer number (27126763776).

Almost surely, 2^{2533643484240} is an apocalyptic number.

2533643484240 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 2533643484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340282204160).

2533643484240 is an abundant number, since it is smaller than the sum of its proper divisors (6146920924080).

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

2533643484240 is a wasteful number, since it uses less digits than its factorization.

2533643484240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27450 (or 27444 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 2533643484240 in words is "two trillion, five hundred thirty-three billion, six hundred forty-three million, four hundred eighty-four thousand, two hundred forty".