2705365920 has 384 divisors, whose sum is σ = 9503827200. Its totient is φ = 644087808.

The previous prime is 2705365879. The next prime is 2705365937. The reversal of 2705365920 is 295635072.

It is a super-2 number, since 2×2705365920² = 14638009522194892800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14017344 + ... + 14017536.

It is an arithmetic number, because the mean of its divisors is an integer number (24749550).

Almost surely, 2^2705365920 is an apocalyptic number.

2705365920 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 2705365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751913600).

2705365920 is an abundant number, since it is smaller than the sum of its proper divisors (6798461280).

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

2705365920 is a wasteful number, since it uses less digits than its factorization.

2705365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 2705365920 is about 52013.1321879388. The cubic root of 2705365920 is about 1393.3984987163.

The spelling of 2705365920 in words is "two billion, seven hundred five million, three hundred sixty-five thousand, nine hundred twenty".