1985729024 has 60 divisors (see below), whose sum is σ = 4079149074. Its totient is φ = 965689344.

The previous prime is 1985728981. The next prime is 1985729029. The reversal of 1985729024 is 4209275891.

It can be written as a sum of positive squares in 3 ways, for example, as 1985593600 + 135424 = 44560^2 + 368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1985729024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985729029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 699512 + ... + 702344.

Almost surely, 2^1985729024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985729024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039574537).

1985729024 is an abundant number, since it is smaller than the sum of its proper divisors (2093420050).

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

1985729024 is an frugal number, since it uses more digits than its factorization.

1985729024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 1985729024 is about 44561.5195432113. The cubic root of 1985729024 is about 1256.9171766472.

The spelling of 1985729024 in words is "one billion, nine hundred eighty-five million, seven hundred twenty-nine thousand, twenty-four".