2553052232240 has 80 divisors (see below), whose sum is σ = 6082791676416. Its totient is φ = 995957760000.

The previous prime is 2553052232239. The next prime is 2553052232257. The reversal of 2553052232240 is 422322503552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2553052232240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9154865 + ... + 9429615.

Almost surely, 2^{2553052232240} is an apocalyptic number.

2553052232240 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 2553052232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041395838208).

2553052232240 is an abundant number, since it is smaller than the sum of its proper divisors (3529739444176).

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

2553052232240 is a wasteful number, since it uses less digits than its factorization.

2553052232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277638 (or 277632 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 2553052232240 its reverse (422322503552), we get a palindrome (2975374735792).

The spelling of 2553052232240 in words is "two trillion, five hundred fifty-three billion, fifty-two million, two hundred thirty-two thousand, two hundred forty".