2225197440 has 256 divisors, whose sum is σ = 7949145600. Its totient is φ = 588257280.

The previous prime is 2225197423. The next prime is 2225197451. The reversal of 2225197440 is 447915222.

2225197440 is a `hidden beast` number, since 2 + 2 + 25 + 197 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2225197395 and 2225197404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2263189 + ... + 2264171.

It is an arithmetic number, because the mean of its divisors is an integer number (31051350).

Almost surely, 2^2225197440 is an apocalyptic number.

2225197440 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 2225197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974572800).

2225197440 is an abundant number, since it is smaller than the sum of its proper divisors (5723948160).

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

2225197440 is a wasteful number, since it uses less digits than its factorization.

2225197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2225197440 is about 47171.9984736708. The cubic root of 2225197440 is about 1305.5379998672.

The spelling of 2225197440 in words is "two billion, two hundred twenty-five million, one hundred ninety-seven thousand, four hundred forty".