2456450349120 has 1120 divisors, whose sum is σ = 9906035356800. Its totient is φ = 574057414656.

The previous prime is 2456450349107. The next prime is 2456450349121. The reversal of 2456450349120 is 219430546542.

2456450349120 is a `hidden beast` number, since 2 + 4 + 56 + 4 + 503 + 4 + 91 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2456450349121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 493954954 + ... + 493959926.

Almost surely, 2^{2456450349120} is an apocalyptic number.

2456450349120 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 2456450349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953017678400).

2456450349120 is an abundant number, since it is smaller than the sum of its proper divisors (7449585007680).

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

2456450349120 is a wasteful number, since it uses less digits than its factorization.

2456450349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2456450349120 in words is "two trillion, four hundred fifty-six billion, four hundred fifty million, three hundred forty-nine thousand, one hundred twenty".