2046444480 has 448 divisors, whose sum is σ = 7604150400. Its totient is φ = 517570560.

The previous prime is 2046444473. The next prime is 2046444493. The reversal of 2046444480 is 844446402.

2046444480 is a `hidden beast` number, since 2 + 0 + 4 + 644 + 4 + 4 + 8 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18774666 + ... + 18774774.

It is an arithmetic number, because the mean of its divisors is an integer number (16973550).

Almost surely, 2^2046444480 is an apocalyptic number.

2046444480 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 2046444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802075200).

2046444480 is an abundant number, since it is smaller than the sum of its proper divisors (5557705920).

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

2046444480 is a wasteful number, since it uses less digits than its factorization.

2046444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2046444480 is about 45237.6445010126. The cubic root of 2046444480 is about 1269.5992452853.

The spelling of 2046444480 in words is "two billion, forty-six million, four hundred forty-four thousand, four hundred eighty".