2452227352960 has 768 divisors, whose sum is σ = 7709829120000. Its totient is φ = 729177292800.

The previous prime is 2452227352933. The next prime is 2452227352969. The reversal of 2452227352960 is 692537222542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452227352969) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1226726041 + ... + 1226728039.

It is an arithmetic number, because the mean of its divisors is an integer number (10038840000).

Almost surely, 2^{2452227352960} is an apocalyptic number.

2452227352960 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 2452227352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854914560000).

2452227352960 is an abundant number, since it is smaller than the sum of its proper divisors (5257601767040).

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

2452227352960 is a wasteful number, since it uses less digits than its factorization.

2452227352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 2452227352960 in words is "two trillion, four hundred fifty-two billion, two hundred twenty-seven million, three hundred fifty-two thousand, nine hundred sixty".