2754753920 has 128 divisors (see below), whose sum is σ = 6788426400. Its totient is φ = 1068318720.

The previous prime is 2754753919. The next prime is 2754753943. The reversal of 2754753920 is 293574572.

It is a happy number.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7268291 + ... + 7268669.

Almost surely, 2^2754753920 is an apocalyptic number.

2754753920 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 2754753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394213200).

2754753920 is an abundant number, since it is smaller than the sum of its proper divisors (4033672480).

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

2754753920 is a wasteful number, since it uses less digits than its factorization.

2754753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 44.

The square root of 2754753920 is about 52485.7496850336. The cubic root of 2754753920 is about 1401.8265139563.

The spelling of 2754753920 in words is "two billion, seven hundred fifty-four million, seven hundred fifty-three thousand, nine hundred twenty".