2048258016 has 180 divisors, whose sum is σ = 7007793408. Its totient is φ = 585180288.

The previous prime is 2048258011. The next prime is 2048258021. The reversal of 2048258016 is 6108528402.

2048258016 is a `hidden beast` number, since 20 + 48 + 2 + 580 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2048258011) and next prime (2048258021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048258011) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 118945 + ... + 135071.

Almost surely, 2^2048258016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503896704).

2048258016 is an abundant number, since it is smaller than the sum of its proper divisors (4959535392).

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

2048258016 is a wasteful number, since it uses less digits than its factorization.

2048258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16163 (or 16139 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2048258016 is about 45257.6846071471. The cubic root of 2048258016 is about 1269.9741693963.

The spelling of 2048258016 in words is "two billion, forty-eight million, two hundred fifty-eight thousand, sixteen".