2724864552960 has 1248 divisors, whose sum is σ = 10240736808960. Its totient is φ = 616366080000.

The previous prime is 2724864552923. The next prime is 2724864552989. The reversal of 2724864552960 is 692554684272.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2724864552894 and 2724864552903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14266306465 + ... + 14266306655.

Almost surely, 2^{2724864552960} is an apocalyptic number.

2724864552960 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 2724864552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120368404480).

2724864552960 is an abundant number, since it is smaller than the sum of its proper divisors (7515872256000).

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

2724864552960 is a wasteful number, since it uses less digits than its factorization.

2724864552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 2724864552960 in words is "two trillion, seven hundred twenty-four billion, eight hundred sixty-four million, five hundred fifty-two thousand, nine hundred sixty".