2752145440 has 96 divisors (see below), whose sum is σ = 7466437440. Its totient is φ = 948096000.

The previous prime is 2752145437. The next prime is 2752145441. The reversal of 2752145440 is 445412572.

It is a junction number, because it is equal to n+sod(n) for n = 2752145396 and 2752145405.

It is not an unprimeable number, because it can be changed into a prime (2752145441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7711 + ... + 74590.

It is an arithmetic number, because the mean of its divisors is an integer number (77775390).

Almost surely, 2^2752145440 is an apocalyptic number.

2752145440 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 2752145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733218720).

2752145440 is an abundant number, since it is smaller than the sum of its proper divisors (4714292000).

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

2752145440 is a wasteful number, since it uses less digits than its factorization.

2752145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82346 (or 82338 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

The square root of 2752145440 is about 52460.8943881059. The cubic root of 2752145440 is about 1401.3839104550.

The spelling of 2752145440 in words is "two billion, seven hundred fifty-two million, one hundred forty-five thousand, four hundred forty".