2753248344 has 128 divisors (see below), whose sum is σ = 8764416000. Its totient is φ = 699891840.

The previous prime is 2753248307. The next prime is 2753248357. The reversal of 2753248344 is 4438423572.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2753248296 and 2753248305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71007 + ... + 102705.

It is an arithmetic number, because the mean of its divisors is an integer number (68472000).

Almost surely, 2^2753248344 is an apocalyptic number.

2753248344 is a gapful number since it is divisible by the number (24) 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 2753248344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382208000).

2753248344 is an abundant number, since it is smaller than the sum of its proper divisors (6011167656).

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

2753248344 is a wasteful number, since it uses less digits than its factorization.

2753248344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31773 (or 31769 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 2753248344 is about 52471.4050126352. The cubic root of 2753248344 is about 1401.5710838848.

The spelling of 2753248344 in words is "two billion, seven hundred fifty-three million, two hundred forty-eight thousand, three hundred forty-four".