2452488192000 has 2016 divisors, whose sum is σ = 11432123748864. Its totient is φ = 509607936000.

The previous prime is 2452488191987. The next prime is 2452488192023. The reversal of 2452488192000 is 2918842542.

It is a Jordan-Polya number, since it can be written as 11! ⋅ 5! ⋅ (2!)⁹.

2452488192000 is a `hidden beast` number, since 2 + 452 + 4 + 8 + 8 + 192 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222953471995 + ... + 222953472005.

It is an arithmetic number, because the mean of its divisors is an integer number (5670696304).

Almost surely, 2^{2452488192000} is an apocalyptic number.

2452488192000 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 2452488192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716061874432).

2452488192000 is an abundant number, since it is smaller than the sum of its proper divisors (8979635556864).

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

2452488192000 is an frugal number, since it uses more digits than its factorization.

2452488192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2452488192000 in words is "two trillion, four hundred fifty-two billion, four hundred eighty-eight million, one hundred ninety-two thousand".