2003579208642 has 32 divisors (see below), whose sum is σ = 4445537852160. Its totient is φ = 596854616720.

The previous prime is 2003579208637. The next prime is 2003579208647. The reversal of 2003579208642 is 2468029753002.

It is an interprime number because it is at equal distance from previous prime (2003579208637) and next prime (2003579208647).

It is a super-3 number, since 3×2003579208642³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003579208591 and 2003579208600.

It is not an unprimeable number, because it can be changed into a prime (2003579208647) 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, 257261028 + ... + 257268815.

It is an arithmetic number, because the mean of its divisors is an integer number (138923057880).

Almost surely, 2^{2003579208642} is an apocalyptic number.

2003579208642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2003579208642 is an abundant number, since it is smaller than the sum of its proper divisors (2441958643518).

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

2003579208642 is a wasteful number, since it uses less digits than its factorization.

2003579208642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514529918.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 2003579208642 in words is "two trillion, three billion, five hundred seventy-nine million, two hundred eight thousand, six hundred forty-two".