2552780002752 has 336 divisors, whose sum is σ = 8467989566400. Its totient is φ = 720189259776.

The previous prime is 2552780002727. The next prime is 2552780002781. The reversal of 2552780002752 is 2572000872552.

2552780002752 is a `hidden beast` number, since 2 + 552 + 78 + 0 + 0 + 0 + 27 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2552780002752² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2552780002698 and 2552780002707.

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 47 ways as a sum of consecutive naturals, for example, 175598428 + ... + 175612964.

It is an arithmetic number, because the mean of its divisors is an integer number (25202349900).

Almost surely, 2^{2552780002752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552780002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233994783200).

2552780002752 is an abundant number, since it is smaller than the sum of its proper divisors (5915209563648).

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

2552780002752 is a wasteful number, since it uses less digits than its factorization.

2552780002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15108 (or 15095 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 2552780002752 in words is "two trillion, five hundred fifty-two billion, seven hundred eighty million, two thousand, seven hundred fifty-two".