2048385024 has 392 divisors, whose sum is σ = 7162647600. Its totient is φ = 585252864.

The previous prime is 2048385019. The next prime is 2048385089. The reversal of 2048385024 is 4205838402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (392).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2048385024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 292626429 + ... + 292626435.

Almost surely, 2^2048385024 is an apocalyptic number.

2048385024 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 2048385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581323800).

2048385024 is an abundant number, since it is smaller than the sum of its proper divisors (5114262576).

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

2048385024 is an frugal number, since it uses more digits than its factorization.

2048385024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 12 counting only the distinct ones).

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

The square root of 2048385024 is about 45259.0877504176. The cubic root of 2048385024 is about 1270.0004182940. Note that the first 3 decimals are identical.

The spelling of 2048385024 in words is "two billion, forty-eight million, three hundred eighty-five thousand, twenty-four".