5040222720 has 320 divisors, whose sum is σ = 18272580480. Its totient is φ = 1174929408.

The previous prime is 5040222697. The next prime is 5040222721. The reversal of 5040222720 is 272220405.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5040222721) 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 31 ways as a sum of consecutive naturals, for example, 1895632 + ... + 1898288.

It is an arithmetic number, because the mean of its divisors is an integer number (57101814).

Almost surely, 2^5040222720 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 5040222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136290240).

5040222720 is an abundant number, since it is smaller than the sum of its proper divisors (13232357760).

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

5040222720 is a wasteful number, since it uses less digits than its factorization.

5040222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 5040222720 is about 70994.5259861632. The cubic root of 5040222720 is about 1714.5490312980.

The spelling of 5040222720 in words is "five billion, forty million, two hundred twenty-two thousand, seven hundred twenty".