2752224640 has 128 divisors (see below), whose sum is σ = 7409802240. Its totient is φ = 968448000.

The previous prime is 2752224529. The next prime is 2752224653. The reversal of 2752224640 is 464222572.

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

It is a junction number, because it is equal to n+sod(n) for n = 2752224596 and 2752224605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211935 + ... + 224545.

It is an arithmetic number, because the mean of its divisors is an integer number (57889080).

Almost surely, 2^2752224640 is an apocalyptic number.

2752224640 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 2752224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704901120).

2752224640 is an abundant number, since it is smaller than the sum of its proper divisors (4657577600).

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

2752224640 is a wasteful number, since it uses less digits than its factorization.

2752224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12672 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 2752224640 is about 52461.6492306523. The cubic root of 2752224640 is about 1401.3973531240.

The spelling of 2752224640 in words is "two billion, seven hundred fifty-two million, two hundred twenty-four thousand, six hundred forty".