2225005440 has 128 divisors (see below), whose sum is σ = 8105425920. Its totient is φ = 508569600.

The previous prime is 2225005423. The next prime is 2225005493. The reversal of 2225005440 is 445005222.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2225005440.

It is a congruent number.

It is an unprimeable number.

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, 69336 + ... + 96215.

It is an arithmetic number, because the mean of its divisors is an integer number (63323640).

Almost surely, 2^2225005440 is an apocalyptic number.

2225005440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225005440 is an abundant number, since it is smaller than the sum of its proper divisors (5880420480).

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

2225005440 is a wasteful number, since it uses less digits than its factorization.

2225005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165580 (or 165568 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2225005440 is about 47169.9633241324. The cubic root of 2225005440 is about 1305.5004495655.

The spelling of 2225005440 in words is "two billion, two hundred twenty-five million, five thousand, four hundred forty".