2272400000 has 384 divisors, whose sum is σ = 6693321600. Its totient is φ = 760320000.

The previous prime is 2272399993. The next prime is 2272400027. The reversal of 2272400000 is 42722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98799989 + ... + 98800011.

It is an arithmetic number, because the mean of its divisors is an integer number (17430525).

Almost surely, 2^2272400000 is an apocalyptic number.

2272400000 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 2272400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346660800).

2272400000 is an abundant number, since it is smaller than the sum of its proper divisors (4420921600).

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

2272400000 is an equidigital number, since it uses as much as digits as its factorization.

2272400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2272400000 is about 47669.6968733807. The cubic root of 2272400000 is about 1314.7048352737.

Adding to 2272400000 its reverse (42722), we get a palindrome (2272442722).

The spelling of 2272400000 in words is "two billion, two hundred seventy-two million, four hundred thousand".