2552452422520 has 768 divisors, whose sum is σ = 8135990231040. Its totient is φ = 700406784000.

The previous prime is 2552452422503. The next prime is 2552452422529. The reversal of 2552452422520 is 252242542552.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552452422529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 969407124 + ... + 969409756.

It is an arithmetic number, because the mean of its divisors is an integer number (10593737280).

Almost surely, 2^{2552452422520} is an apocalyptic number.

2552452422520 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 2552452422520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067995115520).

2552452422520 is an abundant number, since it is smaller than the sum of its proper divisors (5583537808520).

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

2552452422520 is a wasteful number, since it uses less digits than its factorization.

2552452422520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

The spelling of 2552452422520 in words is "two trillion, five hundred fifty-two billion, four hundred fifty-two million, four hundred twenty-two thousand, five hundred twenty".