2042331001000 has 128 divisors (see below), whose sum is σ = 4846751170560. Its totient is φ = 805370688000.

The previous prime is 2042331000973. The next prime is 2042331001033. The reversal of 2042331001000 is 1001332402.

It is a happy number.

It is a super-2 number, since 2×2042331001000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201985945 + ... + 201996055.

It is an arithmetic number, because the mean of its divisors is an integer number (37865243520).

Almost surely, 2^{2042331001000} is an apocalyptic number.

2042331001000 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 2042331001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423375585280).

2042331001000 is an abundant number, since it is smaller than the sum of its proper divisors (2804420169560).

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

2042331001000 is a wasteful number, since it uses less digits than its factorization.

2042331001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2042331001000 its reverse (1001332402), we get a palindrome (2043332333402).

The spelling of 2042331001000 in words is "two trillion, forty-two billion, three hundred thirty-one million, one thousand".