2048584320 has 192 divisors, whose sum is σ = 7490494440. Its totient is φ = 514129920.

The previous prime is 2048584301. The next prime is 2048584333. The reversal of 2048584320 is 234858402.

2048584320 is a `hidden beast` number, since 2 + 0 + 48 + 584 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1964971584 + 83612736 = 44328^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2048584320² = 8393395432299724800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87460 + ... + 108380.

Almost surely, 2^2048584320 is an apocalyptic number.

2048584320 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 2048584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745247220).

2048584320 is an abundant number, since it is smaller than the sum of its proper divisors (5441910120).

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

2048584320 is a wasteful number, since it uses less digits than its factorization.

2048584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20963 (or 20948 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2048584320 is about 45261.2894204308. The cubic root of 2048584320 is about 1270.0416048536.

The spelling of 2048584320 in words is "two billion, forty-eight million, five hundred eighty-four thousand, three hundred twenty".