2225305440 has 384 divisors, whose sum is σ = 8342248320. Its totient is φ = 552075264.

The previous prime is 2225305399. The next prime is 2225305471. The reversal of 2225305440 is 445035222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11529984 + ... + 11530176.

It is an arithmetic number, because the mean of its divisors is an integer number (21724605).

Almost surely, 2^2225305440 is an apocalyptic number.

2225305440 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 2225305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171124160).

2225305440 is an abundant number, since it is smaller than the sum of its proper divisors (6116942880).

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

2225305440 is a wasteful number, since it uses less digits than its factorization.

2225305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2225305440 is about 47173.1432067018. The cubic root of 2225305440 is about 1305.5591209627.

The spelling of 2225305440 in words is "two billion, two hundred twenty-five million, three hundred five thousand, four hundred forty".