2720601348864 has 576 divisors, whose sum is σ = 8953418557440. Its totient is φ = 716217384960.

The previous prime is 2720601348853. The next prime is 2720601348889. The reversal of 2720601348864 is 4688431060272.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2728787214 + ... + 2728788210.

It is an arithmetic number, because the mean of its divisors is an integer number (15544129440).

Almost surely, 2^{2720601348864} is an apocalyptic number.

2720601348864 is a gapful number since it is divisible by the number (24) 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 2720601348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476709278720).

2720601348864 is an abundant number, since it is smaller than the sum of its proper divisors (6232817208576).

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

2720601348864 is a wasteful number, since it uses less digits than its factorization.

2720601348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 2720601348864 in words is "two trillion, seven hundred twenty billion, six hundred one million, three hundred forty-eight thousand, eight hundred sixty-four".