2004913762560 has 1008 divisors, whose sum is σ = 7672765564800. Its totient is φ = 499973160960.

The previous prime is 2004913762529. The next prime is 2004913762561. The reversal of 2004913762560 is 652673194002.

2004913762560 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 9 + 13 + 7 + 625 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2004913762561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3347101141 + ... + 3347101739.

It is an arithmetic number, because the mean of its divisors is an integer number (7611870600).

Almost surely, 2^{2004913762560} is an apocalyptic number.

2004913762560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004913762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836382782400).

2004913762560 is an abundant number, since it is smaller than the sum of its proper divisors (5667851802240).

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

2004913762560 is an equidigital number, since it uses as much as digits as its factorization.

2004913762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2004913762560 in words is "two trillion, four billion, nine hundred thirteen million, seven hundred sixty-two thousand, five hundred sixty".