2704884072 has 64 divisors (see below), whose sum is σ = 7414545600. Its totient is φ = 815485440.

The previous prime is 2704884067. The next prime is 2704884073.

2704884072 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2704884073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26004 + ... + 78012.

It is an arithmetic number, because the mean of its divisors is an integer number (115852275).

Almost surely, 2^2704884072 is an apocalyptic number.

2704884072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 52008×52009.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2704884072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707272800).

2704884072 is an abundant number, since it is smaller than the sum of its proper divisors (4709661528).

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

2704884072 is a wasteful number, since it uses less digits than its factorization.

2704884072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52226 (or 52222 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 2704884072 is about 52008.4999975965. The cubic root of 2704884072 is about 1393.3157685466.

The spelling of 2704884072 in words is "two billion, seven hundred four million, eight hundred eighty-four thousand, seventy-two".