2225791080 has 192 divisors, whose sum is σ = 7382007360. Its totient is φ = 581520384.

The previous prime is 2225791049. The next prime is 2225791111. The reversal of 2225791080 is 801975222.

2225791080 is a `hidden beast` number, since 2 + 2 + 2 + 579 + 1 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2225791049) and next prime (2225791111).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4870212 + ... + 4870668.

It is an arithmetic number, because the mean of its divisors is an integer number (38447955).

Almost surely, 2^2225791080 is an apocalyptic number.

2225791080 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 2225791080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691003680).

2225791080 is an abundant number, since it is smaller than the sum of its proper divisors (5156216280).

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

2225791080 is a wasteful number, since it uses less digits than its factorization.

2225791080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2225791080 is about 47178.2903463023. The cubic root of 2225791080 is about 1305.6540870444.

The spelling of 2225791080 in words is "two billion, two hundred twenty-five million, seven hundred ninety-one thousand, eighty".