2752401344 has 168 divisors, whose sum is σ = 7032485808. Its totient is φ = 1056706560.

The previous prime is 2752401343. The next prime is 2752401349. The reversal of 2752401344 is 4431042572.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2752401344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752401343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2517662 + ... + 2518754.

Almost surely, 2^2752401344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516242904).

2752401344 is an abundant number, since it is smaller than the sum of its proper divisors (4280084464).

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

2752401344 is a wasteful number, since it uses less digits than its factorization.

2752401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 2752401344 is about 52463.3333290976. Note that the first 4 decimals coincide. The cubic root of 2752401344 is about 1401.4273442828.

The spelling of 2752401344 in words is "two billion, seven hundred fifty-two million, four hundred one thousand, three hundred forty-four".