2452449605760 has 1536 divisors, whose sum is σ = 11486603520000. Its totient is φ = 482724126720.

The previous prime is 2452449605743. The next prime is 2452449605783. The reversal of 2452449605760 is 675069442542.

2452449605760 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 4 + 4 + 9 + 60 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2452449605697 and 2452449605706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278082631 + ... + 278091449.

It is an arithmetic number, because the mean of its divisors is an integer number (7478257500).

Almost surely, 2^{2452449605760} is an apocalyptic number.

2452449605760 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 2452449605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743301760000).

2452449605760 is an abundant number, since it is smaller than the sum of its proper divisors (9034153914240).

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

2452449605760 is a wasteful number, since it uses less digits than its factorization.

2452449605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2452449605760 in words is "two trillion, four hundred fifty-two billion, four hundred forty-nine million, six hundred five thousand, seven hundred sixty".