2705400880 has 160 divisors (see below), whose sum is σ = 8149478400. Its totient is φ = 811109376.

The previous prime is 2705400869. The next prime is 2705400917. The reversal of 2705400880 is 880045072.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128541 + ... + 148099.

It is an arithmetic number, because the mean of its divisors is an integer number (50934240).

Almost surely, 2^2705400880 is an apocalyptic number.

2705400880 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 2705400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074739200).

2705400880 is an abundant number, since it is smaller than the sum of its proper divisors (5444077520).

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

2705400880 is a wasteful number, since it uses less digits than its factorization.

2705400880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19611 (or 19605 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 2705400880 is about 52013.4682558277. The cubic root of 2705400880 is about 1393.4045007388.

The spelling of 2705400880 in words is "two billion, seven hundred five million, four hundred thousand, eight hundred eighty".