2172227904 has 672 divisors, whose sum is σ = 8535960576. Its totient is φ = 510935040.

The previous prime is 2172227891. The next prime is 2172227917. The reversal of 2172227904 is 4097222712.

It is an interprime number because it is at equal distance from previous prime (2172227891) and next prime (2172227917).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32421279 + ... + 32421345.

Almost surely, 2^2172227904 is an apocalyptic number.

2172227904 is a gapful number since it is divisible by the number (24) 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 2172227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267980288).

2172227904 is an abundant number, since it is smaller than the sum of its proper divisors (6363732672).

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

2172227904 is a wasteful number, since it uses less digits than its factorization.

2172227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2172227904 is about 46607.1658009796. The cubic root of 2172227904 is about 1295.0955051481.

The spelling of 2172227904 in words is "two billion, one hundred seventy-two million, two hundred twenty-seven thousand, nine hundred four".