2048510880 has 576 divisors, whose sum is σ = 8217544608. Its totient is φ = 460062720.

The previous prime is 2048510873. The next prime is 2048510909. The reversal of 2048510880 is 880158402.

2048510880 is a `hidden beast` number, since 20 + 48 + 510 + 8 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 26749584 + 2021761296 = 5172^2 + 44964^2 .

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 95 ways as a sum of consecutive naturals, for example, 13047762 + ... + 13047918.

Almost surely, 2^2048510880 is an apocalyptic number.

2048510880 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 2048510880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108772304).

2048510880 is an abundant number, since it is smaller than the sum of its proper divisors (6169033728).

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

2048510880 is a wasteful number, since it uses less digits than its factorization.

2048510880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2048510880 is about 45260.4781238555. The cubic root of 2048510880 is about 1270.0264280362.

The spelling of 2048510880 in words is "two billion, forty-eight million, five hundred ten thousand, eight hundred eighty".