2048951520 has 576 divisors, whose sum is σ = 9238634496. Its totient is φ = 400343040.

The previous prime is 2048951501. The next prime is 2048951521. The reversal of 2048951520 is 251598402.

2048951520 is a `hidden beast` number, since 2 + 0 + 4 + 89 + 51 + 520 = 666.

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 (2048951521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884417 + ... + 1885503.

It is an arithmetic number, because the mean of its divisors is an integer number (16039296).

Almost surely, 2^2048951520 is an apocalyptic number.

2048951520 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 2048951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619317248).

2048951520 is an abundant number, since it is smaller than the sum of its proper divisors (7189682976).

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

2048951520 is a wasteful number, since it uses less digits than its factorization.

2048951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2048951520 is about 45265.3456851928. The cubic root of 2048951520 is about 1270.1174835000.

The spelling of 2048951520 in words is "two billion, forty-eight million, nine hundred fifty-one thousand, five hundred twenty".