2032227840 has 240 divisors, whose sum is σ = 6866065008. Its totient is φ = 512704512.

The previous prime is 2032227839. The next prime is 2032227851. The reversal of 2032227840 is 487222302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2032227798 and 2032227807.

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 23 ways as a sum of consecutive naturals, for example, 2772114 + ... + 2772846.

Almost surely, 2^2032227840 is an apocalyptic number.

2032227840 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 2032227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433032504).

2032227840 is an abundant number, since it is smaller than the sum of its proper divisors (4833837168).

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

2032227840 is an equidigital number, since it uses as much as digits as its factorization.

2032227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2032227840 is about 45080.2377988404. The cubic root of 2032227840 is about 1266.6524442848.

The spelling of 2032227840 in words is "two billion, thirty-two million, two hundred twenty-seven thousand, eight hundred forty".