2042011000 has 64 divisors (see below), whose sum is σ = 4800257280. Its totient is φ = 813052800.

The previous prime is 2042010989. The next prime is 2042011003. The reversal of 2042011000 is 1102402.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218422 + ... + 227578.

It is an arithmetic number, because the mean of its divisors is an integer number (75004020).

Almost surely, 2^2042011000 is an apocalyptic number.

2042011000 is a gapful number since it is divisible by the number (20) 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 2042011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400128640).

2042011000 is an abundant number, since it is smaller than the sum of its proper divisors (2758246280).

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

2042011000 is a wasteful number, since it uses less digits than its factorization.

2042011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2042011000 is about 45188.6158230145. The cubic root of 2042011000 is about 1268.6817495055.

Adding to 2042011000 its reverse (1102402), we get a palindrome (2043113402).

The spelling of 2042011000 in words is "two billion, forty-two million, eleven thousand".