2705601920 has 128 divisors (see below), whose sum is σ = 7494258240. Its totient is φ = 914817024.

The previous prime is 2705601917. The next prime is 2705601967. The reversal of 2705601920 is 291065072.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322904 + ... + 331176.

Almost surely, 2^2705601920 is an apocalyptic number.

2705601920 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 2705601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747129120).

2705601920 is an abundant number, since it is smaller than the sum of its proper divisors (4788656320).

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

2705601920 is an equidigital number, since it uses as much as digits as its factorization.

2705601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 2705601920 is about 52015.4007963026. The cubic root of 2705601920 is about 1393.4390147985.

Adding to 2705601920 its reverse (291065072), we get a palindrome (2996666992).

The spelling of 2705601920 in words is "two billion, seven hundred five million, six hundred one thousand, nine hundred twenty".