2045448384 has 112 divisors (see below), whose sum is σ = 6230112000. Its totient is φ = 580156416.

The previous prime is 2045448367. The next prime is 2045448389. The reversal of 2045448384 is 4838445402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2045448384² = 8367718183216422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2045448389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181342 + ... + 192290.

It is an arithmetic number, because the mean of its divisors is an integer number (55626000).

Almost surely, 2^2045448384 is an apocalyptic number.

2045448384 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 2045448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115056000).

2045448384 is an abundant number, since it is smaller than the sum of its proper divisors (4184663616).

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

2045448384 is a wasteful number, since it uses less digits than its factorization.

2045448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The square root of 2045448384 is about 45226.6335691703. The cubic root of 2045448384 is about 1269.3932216210.

The spelling of 2045448384 in words is "two billion, forty-five million, four hundred forty-eight thousand, three hundred eighty-four".