2753979240 has 128 divisors (see below), whose sum is σ = 8649400320. Its totient is φ = 700627200.

The previous prime is 2753979211. The next prime is 2753979253. The reversal of 2753979240 is 429793572.

It is a self number, because there is not a number n which added to its sum of digits gives 2753979240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258907 + ... + 269333.

It is an arithmetic number, because the mean of its divisors is an integer number (67573440).

Almost surely, 2^2753979240 is an apocalyptic number.

2753979240 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 2753979240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324700160).

2753979240 is an abundant number, since it is smaller than the sum of its proper divisors (5895421080).

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

2753979240 is a wasteful number, since it uses less digits than its factorization.

2753979240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 2753979240 is about 52478.3692582001. The cubic root of 2753979240 is about 1401.6950964373.

The spelling of 2753979240 in words is "two billion, seven hundred fifty-three million, nine hundred seventy-nine thousand, two hundred forty".