2705521280 has 576 divisors, whose sum is σ = 8907978240. Its totient is φ = 780595200.

The previous prime is 2705521279. The next prime is 2705521327. The reversal of 2705521280 is 821255072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87274865 + ... + 87274895.

It is an arithmetic number, because the mean of its divisors is an integer number (15465240).

Almost surely, 2^2705521280 is an apocalyptic number.

2705521280 is a gapful number since it is divisible by the number (20) 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 2705521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453989120).

2705521280 is an abundant number, since it is smaller than the sum of its proper divisors (6202456960).

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

2705521280 is a wasteful number, since it uses less digits than its factorization.

2705521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 2705521280 is about 52014.6256354883. The cubic root of 2705521280 is about 1393.4251709242.

The spelling of 2705521280 in words is "two billion, seven hundred five million, five hundred twenty-one thousand, two hundred eighty".