2048261280 has 192 divisors, whose sum is σ = 6998140800. Its totient is φ = 500576256.

The previous prime is 2048261279. The next prime is 2048261291. The reversal of 2048261280 is 821628402.

It is a happy number.

2048261280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2048261280² = 8390748542294476800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928659 + ... + 930861.

It is an arithmetic number, because the mean of its divisors is an integer number (36448650).

Almost surely, 2^2048261280 is an apocalyptic number.

2048261280 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 2048261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499070400).

2048261280 is an abundant number, since it is smaller than the sum of its proper divisors (4949879520).

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

2048261280 is a wasteful number, since it uses less digits than its factorization.

2048261280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2048261280 is about 45257.7206673071. The cubic root of 2048261280 is about 1269.9748439847.

Adding to 2048261280 its reverse (821628402), we get a palindrome (2869889682).

The spelling of 2048261280 in words is "two billion, forty-eight million, two hundred sixty-one thousand, two hundred eighty".