1958424080 has 20 divisors (see below), whose sum is σ = 4553336172. Its totient is φ = 783369600.

The previous prime is 1958424067. The next prime is 1958424109. The reversal of 1958424080 is 804248591.

It can be written as a sum of positive squares in 2 ways, for example, as 1406550016 + 551874064 = 37504^2 + 23492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12240071 + ... + 12240230.

Almost surely, 2^1958424080 is an apocalyptic number.

1958424080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1958424080 is an abundant number, since it is smaller than the sum of its proper divisors (2594912092).

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

1958424080 is a wasteful number, since it uses less digits than its factorization.

1958424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24480314 (or 24480308 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 1958424080 is about 44254.0854611187. The cubic root of 1958424080 is about 1251.1294495676.

The spelling of 1958424080 in words is "one billion, nine hundred fifty-eight million, four hundred twenty-four thousand, eighty".