2041442000 has 80 divisors (see below), whose sum is σ = 5315982672. Its totient is φ = 753753600.

The previous prime is 2041441973. The next prime is 2041442009. The reversal of 2041442000 is 2441402.

It can be written as a sum of positive squares in 8 ways, for example, as 471063616 + 1570378384 = 21704^2 + 39628^2 .

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 2041442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041442009) 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, 13259 + ... + 65258.

Almost surely, 2^2041442000 is an apocalyptic number.

2041442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041442000 is an abundant number, since it is smaller than the sum of its proper divisors (3274540672).

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

2041442000 is a wasteful number, since it uses less digits than its factorization.

2041442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78553 (or 78537 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2041442000 is about 45182.3195509040. The cubic root of 2041442000 is about 1268.5639004871.

Adding to 2041442000 its reverse (2441402), we get a palindrome (2043883402).

The spelling of 2041442000 in words is "two billion, forty-one million, four hundred forty-two thousand".