2001538184640 has 112 divisors (see below), whose sum is σ = 6403394701440. Its totient is φ = 529669104640.

The previous prime is 2001538184603. The next prime is 2001538184687. The reversal of 2001538184640 is 464818351002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001538184592 and 2001538184601.

It is a congruent number.

It is an unprimeable number.

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, 7832010 + ... + 8083529.

Almost surely, 2^{2001538184640} is an apocalyptic number.

2001538184640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001538184640 is an abundant number, since it is smaller than the sum of its proper divisors (4401856516800).

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

2001538184640 is a wasteful number, since it uses less digits than its factorization.

2001538184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15915690 (or 15915680 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 2001538184640 in words is "two trillion, one billion, five hundred thirty-eight million, one hundred eighty-four thousand, six hundred forty".