2032448880 has 320 divisors, whose sum is σ = 7935206400. Its totient is φ = 418037760.

The previous prime is 2032448809. The next prime is 2032448893. The reversal of 2032448880 is 888442302.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 2013816 + ... + 2014824.

It is an arithmetic number, because the mean of its divisors is an integer number (24797520).

Almost surely, 2^2032448880 is an apocalyptic number.

2032448880 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 2032448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967603200).

2032448880 is an abundant number, since it is smaller than the sum of its proper divisors (5902757520).

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

2032448880 is a wasteful number, since it uses less digits than its factorization.

2032448880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2032448880 is about 45082.6893607735. The cubic root of 2032448880 is about 1266.6983660888.

The spelling of 2032448880 in words is "two billion, thirty-two million, four hundred forty-eight thousand, eight hundred eighty".