2004335254040 has 128 divisors (see below), whose sum is σ = 5612347008000. Its totient is φ = 628582768128.

The previous prime is 2004335254037. The next prime is 2004335254043. The reversal of 2004335254040 is 404525334002.

It is an interprime number because it is at equal distance from previous prime (2004335254037) and next prime (2004335254043).

It is a junction number, because it is equal to n+sod(n) for n = 2004335253988 and 2004335254006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004335254043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6341492 + ... + 6650051.

It is an arithmetic number, because the mean of its divisors is an integer number (43846461000).

Almost surely, 2^{2004335254040} is an apocalyptic number.

2004335254040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004335254040 is an abundant number, since it is smaller than the sum of its proper divisors (3608011753960).

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

2004335254040 is a wasteful number, since it uses less digits than its factorization.

2004335254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12991609 (or 12991605 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 2004335254040 in words is "two trillion, four billion, three hundred thirty-five million, two hundred fifty-four thousand, forty".