2724464056320 has 672 divisors, whose sum is σ = 9870182955360. Its totient is φ = 721413734400.

The previous prime is 2724464056297. The next prime is 2724464056427. The reversal of 2724464056320 is 236504644272.

2724464056320 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 4 + 6 + 4 + 0 + 5 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1127207752 + ... + 1127210168.

It is an arithmetic number, because the mean of its divisors is an integer number (14687772255).

Almost surely, 2^{2724464056320} is an apocalyptic number.

2724464056320 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 2724464056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935091477680).

2724464056320 is an abundant number, since it is smaller than the sum of its proper divisors (7145718899040).

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

2724464056320 is an equidigital number, since it uses as much as digits as its factorization.

2724464056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2724464056320 in words is "two trillion, seven hundred twenty-four billion, four hundred sixty-four million, fifty-six thousand, three hundred twenty".