2456449369920 has 672 divisors, whose sum is σ = 11010693028608. Its totient is φ = 487795654656.

The previous prime is 2456449369909. The next prime is 2456449369951. The reversal of 2456449369920 is 299639446542.

2456449369920 is a `hidden beast` number, since 2 + 4 + 5 + 64 + 493 + 69 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4179687 + ... + 4731033.

It is an arithmetic number, because the mean of its divisors is an integer number (16384959864).

Almost surely, 2^{2456449369920} is an apocalyptic number.

2456449369920 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 2456449369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505346514304).

2456449369920 is an abundant number, since it is smaller than the sum of its proper divisors (8554243658688).

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

2456449369920 is a wasteful number, since it uses less digits than its factorization.

2456449369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551407 (or 551394 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 2456449369920 in words is "two trillion, four hundred fifty-six billion, four hundred forty-nine million, three hundred sixty-nine thousand, nine hundred twenty".