2720947104 has 288 divisors, whose sum is σ = 8692354944. Its totient is φ = 802897920.

The previous prime is 2720947027. The next prime is 2720947109. The reversal of 2720947104 is 4017490272.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2720947109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8220219 + ... + 8220549.

It is an arithmetic number, because the mean of its divisors is an integer number (30181788).

Almost surely, 2^2720947104 is an apocalyptic number.

2720947104 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 2720947104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346177472).

2720947104 is an abundant number, since it is smaller than the sum of its proper divisors (5971407840).

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

2720947104 is a wasteful number, since it uses less digits than its factorization.

2720947104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2720947104 is about 52162.6983964595. The cubic root of 2720947104 is about 1396.0684087844.

The spelling of 2720947104 in words is "two billion, seven hundred twenty million, nine hundred forty-seven thousand, one hundred four".