2720384 has 32 divisors (see below), whose sum is σ = 5535540. Its totient is φ = 1331200.

The previous prime is 2720383. The next prime is 2720387. The reversal of 2720384 is 4830272.

It can be written as a sum of positive squares in 2 ways, for example, as 2190400 + 529984 = 1480^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2720381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6584 + ... + 6984.

2^2720384 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 2720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767770).

2720384 is an abundant number, since it is smaller than the sum of its proper divisors (2815156).

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

2720384 is an equidigital number, since it uses as much as digits as its factorization.

2720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2720384 is about 1649.3586632385. The cubic root of 2720384 is about 139.5972096004.

The spelling of 2720384 in words is "two million, seven hundred twenty thousand, three hundred eighty-four".