2753735120 has 30 divisors (see below), whose sum is σ = 6403525602. Its totient is φ = 1101306304.

The previous prime is 2753735087. The next prime is 2753735129. The reversal of 2753735120 is 215373572.

It can be written as a sum of positive squares in only one way, i.e., 2202988096 + 550747024 = 46936^2 + 23468^2 .

It is a super-2 number, since 2×2753735120² = 15166114222242828800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753735129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 466427 + ... + 472293.

Almost surely, 2^2753735120 is an apocalyptic number.

2753735120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2753735120 is an abundant number, since it is smaller than the sum of its proper divisors (3649790482).

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

2753735120 is an frugal number, since it uses more digits than its factorization.

2753735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11747 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 2753735120 is about 52476.0432959651. The cubic root of 2753735120 is about 1401.6536785606.

The spelling of 2753735120 in words is "two billion, seven hundred fifty-three million, seven hundred thirty-five thousand, one hundred twenty".