2225405040 has 160 divisors (see below), whose sum is σ = 7041840960. Its totient is φ = 581271552.

The previous prime is 2225405023. The next prime is 2225405041. The reversal of 2225405040 is 405045222.

It is a happy number.

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 2225405040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225405041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2537082 + ... + 2537958.

It is an arithmetic number, because the mean of its divisors is an integer number (44011506).

Almost surely, 2^2225405040 is an apocalyptic number.

2225405040 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 2225405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520920480).

2225405040 is an abundant number, since it is smaller than the sum of its proper divisors (4816435920).

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

2225405040 is a wasteful number, since it uses less digits than its factorization.

2225405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

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

The square root of 2225405040 is about 47174.1988803202. The cubic root of 2225405040 is about 1305.5785987006.

The spelling of 2225405040 in words is "two billion, two hundred twenty-five million, four hundred five thousand, forty".