2452253045760 has 1584 divisors, whose sum is σ = 10441359347328. Its totient is φ = 540582543360.

The previous prime is 2452253045741. The next prime is 2452253045849. The reversal of 2452253045760 is 675403522542.

2452253045760 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 2 + 530 + 4 + 57 + 60 = 666.

2452253045760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8369464174 + ... + 8369464466.

Almost surely, 2^{2452253045760} is an apocalyptic number.

2452253045760 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 2452253045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220679673664).

2452253045760 is an abundant number, since it is smaller than the sum of its proper divisors (7989106301568).

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

2452253045760 is an equidigital number, since it uses as much as digits as its factorization.

2452253045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 2452253045760 in words is "two trillion, four hundred fifty-two billion, two hundred fifty-three million, forty-five thousand, seven hundred sixty".