1024802000 has 80 divisors (see below), whose sum is σ = 2563563600. Its totient is φ = 395763200.

The previous prime is 1024801997. The next prime is 1024802017. The reversal of 1024802000 is 2084201.

1024802000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 481539136 + 543262864 = 21944^2 + 23308^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1024802000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49166 + ... + 66834.

It is an arithmetic number, because the mean of its divisors is an integer number (32044545).

Almost surely, 2^1024802000 is an apocalyptic number.

1024802000 is a gapful number since it is divisible by the number (10) 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 1024802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281781800).

1024802000 is an abundant number, since it is smaller than the sum of its proper divisors (1538761600).

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

1024802000 is a wasteful number, since it uses less digits than its factorization.

1024802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17721 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1024802000 is about 32012.5287973318. The cubic root of 1024802000 is about 1008.1999110094.

Adding to 1024802000 its reverse (2084201), we get a palindrome (1026886201).

The spelling of 1024802000 in words is "one billion, twenty-four million, eight hundred two thousand".