2272029440 has 144 divisors (see below), whose sum is σ = 5614606368. Its totient is φ = 880508928.

The previous prime is 2272029439. The next prime is 2272029449. The reversal of 2272029440 is 449202722.

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

It is a junction number, because it is equal to n+sod(n) for n = 2272029397 and 2272029406.

It is not an unprimeable number, because it can be changed into a prime (2272029449) 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 15 ways as a sum of consecutive naturals, for example, 7258724 + ... + 7259036.

It is an arithmetic number, because the mean of its divisors is an integer number (38990322).

Almost surely, 2^2272029440 is an apocalyptic number.

2272029440 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 2272029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807303184).

2272029440 is an abundant number, since it is smaller than the sum of its proper divisors (3342576928).

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

2272029440 is a wasteful number, since it uses less digits than its factorization.

2272029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2272029440 is about 47665.8099689914. The cubic root of 2272029440 is about 1314.6333684681.

The spelling of 2272029440 in words is "two billion, two hundred seventy-two million, twenty-nine thousand, four hundred forty".