2225405000 has 320 divisors, whose sum is σ = 6602386560. Its totient is φ = 684288000.

The previous prime is 2225404991. The next prime is 2225405023. The reversal of 2225405000 is 5045222.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 79 ways as a sum of consecutive naturals, for example, 30484964 + ... + 30485036.

It is an arithmetic number, because the mean of its divisors is an integer number (20632458).

Almost surely, 2^2225405000 is an apocalyptic number.

2225405000 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 2225405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301193280).

2225405000 is an abundant number, since it is smaller than the sum of its proper divisors (4376981560).

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

2225405000 is a wasteful number, since it uses less digits than its factorization.

2225405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2225405000 is about 47174.1984563596. The cubic root of 2225405000 is about 1305.5785908784.

The spelling of 2225405000 in words is "two billion, two hundred twenty-five million, four hundred five thousand".