2048952780 has 384 divisors, whose sum is σ = 7844659200. Its totient is φ = 433527552.

The previous prime is 2048952757. The next prime is 2048952797. The reversal of 2048952780 is 872598402.

2048952780 is a `hidden beast` number, since 2 + 0 + 48 + 9 + 527 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3375237 + ... + 3375843.

It is an arithmetic number, because the mean of its divisors is an integer number (20428800).

Almost surely, 2^2048952780 is an apocalyptic number.

2048952780 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 2048952780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922329600).

2048952780 is an abundant number, since it is smaller than the sum of its proper divisors (5795706420).

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

2048952780 is a wasteful number, since it uses less digits than its factorization.

2048952780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2048952780 is about 45265.3596031226. The cubic root of 2048952780 is about 1270.1177438523.

The spelling of 2048952780 in words is "two billion, forty-eight million, nine hundred fifty-two thousand, seven hundred eighty".