1019842000 has 40 divisors (see below), whose sum is σ = 2465982792. Its totient is φ = 407936000.

The previous prime is 1019841983. The next prime is 1019842003. The reversal of 1019842000 is 2489101.

It is a happy number.

1019842000 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 4 ways, for example, as 2742336 + 1017099664 = 1656^2 + 31892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019842003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252961 + ... + 256960.

Almost surely, 2^1019842000 is an apocalyptic number.

1019842000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1019842000 is an abundant number, since it is smaller than the sum of its proper divisors (1446140792).

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

1019842000 is an equidigital number, since it uses as much as digits as its factorization.

1019842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509944 (or 509928 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1019842000 is about 31934.9651635946. The cubic root of 1019842000 is about 1006.5707309323.

The spelling of 1019842000 in words is "one billion, nineteen million, eight hundred forty-two thousand".