2724604122240 has 5184 divisors, whose sum is σ = 14477274073080. Its totient is φ = 465972756480.

The previous prime is 2724604122217. The next prime is 2724604122271. The reversal of 2724604122240 is 422214064272.

2724604122240 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 604 + 1 + 2 + 2 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2072425126464 + 652178995776 = 1439592^2 + 807576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2724604122195 and 2724604122204.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 143400216951 + ... + 143400216969.

Almost surely, 2^{2724604122240} is an apocalyptic number.

2724604122240 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 2724604122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238637036540).

2724604122240 is an abundant number, since it is smaller than the sum of its proper divisors (11752669950840).

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

2724604122240 is a wasteful number, since it uses less digits than its factorization.

2724604122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2724604122240 in words is "two trillion, seven hundred twenty-four billion, six hundred four million, one hundred twenty-two thousand, two hundred forty".