2004611654640 has 160 divisors (see below), whose sum is σ = 7475845086720. Its totient is φ = 434081313792.

The previous prime is 2004611654623. The next prime is 2004611654641. The reversal of 2004611654640 is 464561164002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004611654641) 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, 31368639 + ... + 31432478.

It is an arithmetic number, because the mean of its divisors is an integer number (46724031792).

Almost surely, 2^{2004611654640} is an apocalyptic number.

2004611654640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004611654640 is an abundant number, since it is smaller than the sum of its proper divisors (5471233432080).

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

2004611654640 is a wasteful number, since it uses less digits than its factorization.

2004611654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62801159 (or 62801153 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2004611654640 in words is "two trillion, four billion, six hundred eleven million, six hundred fifty-four thousand, six hundred forty".