2720224133408 has 96 divisors (see below), whose sum is σ = 5918500224000. Its totient is φ = 1224941895936.

The previous prime is 2720224133323. The next prime is 2720224133443. The reversal of 2720224133408 is 8043314220272.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682693 + ... + 2876091.

It is an arithmetic number, because the mean of its divisors is an integer number (61651044000).

Almost surely, 2^{2720224133408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720224133408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959250112000).

2720224133408 is an abundant number, since it is smaller than the sum of its proper divisors (3198276090592).

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

2720224133408 is a wasteful number, since it uses less digits than its factorization.

2720224133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193614 (or 1193606 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 2720224133408 in words is "two trillion, seven hundred twenty billion, two hundred twenty-four million, one hundred thirty-three thousand, four hundred eight".