1020242000 has 40 divisors (see below), whose sum is σ = 2466949992. Its totient is φ = 408096000.

The previous prime is 1020241979. The next prime is 1020242009. The reversal of 1020242000 is 2420201.

1020242000 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 84860944 + 935381056 = 9212^2 + 30584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020242009) 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, 253061 + ... + 257060.

Almost surely, 2^1020242000 is an apocalyptic number.

1020242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020242000 is an abundant number, since it is smaller than the sum of its proper divisors (1446707992).

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

1020242000 is an equidigital number, since it uses as much as digits as its factorization.

1020242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510144 (or 510128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1020242000 is about 31941.2272776110. The cubic root of 1020242000 is about 1006.7023119892.

Adding to 1020242000 its reverse (2420201), we get a palindrome (1022662201).

The spelling of 1020242000 in words is "one billion, twenty million, two hundred forty-two thousand".