2454851266560 has 4320 divisors, whose sum is σ = 12485760487200. Its totient is φ = 454825082880.

The previous prime is 2454851266513. The next prime is 2454851266603. The reversal of 2454851266560 is 656621584542.

2454851266560 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 8 + 5 + 12 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 = 2454851266497 and 2454851266506.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 129202698231 + ... + 129202698249.

It is an arithmetic number, because the mean of its divisors is an integer number (2890222335).

Almost surely, 2^{2454851266560} is an apocalyptic number.

2454851266560 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 2454851266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242880243600).

2454851266560 is an abundant number, since it is smaller than the sum of its proper divisors (10030909220640).

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

2454851266560 is a wasteful number, since it uses less digits than its factorization.

2454851266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2454851266560 in words is "two trillion, four hundred fifty-four billion, eight hundred fifty-one million, two hundred sixty-six thousand, five hundred sixty".