2552578665450 has 288 divisors, whose sum is σ = 7334258910720. Its totient is φ = 585451152000.

The previous prime is 2552578665379. The next prime is 2552578665491. The reversal of 2552578665450 is 545668752552.

2552578665450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279668787 + ... + 279677913.

Almost surely, 2^{2552578665450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552578665450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667129455360).

2552578665450 is an abundant number, since it is smaller than the sum of its proper divisors (4781680245270).

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

2552578665450 is a wasteful number, since it uses less digits than its factorization.

2552578665450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 100800000, while the sum is 60.

The spelling of 2552578665450 in words is "two trillion, five hundred fifty-two billion, five hundred seventy-eight million, six hundred sixty-five thousand, four hundred fifty".