2001628925604 has 192 divisors, whose sum is σ = 6479991060480. Its totient is φ = 519093671040.

The previous prime is 2001628925603. The next prime is 2001628925633. The reversal of 2001628925604 is 4065298261002.

2001628925604 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 6 + 2 + 89 + 2 + 560 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2001628925604.

It is not an unprimeable number, because it can be changed into a prime (2001628925603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5160022 + ... + 5534354.

It is an arithmetic number, because the mean of its divisors is an integer number (33749953440).

Almost surely, 2^{2001628925604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001628925604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239995530240).

2001628925604 is an abundant number, since it is smaller than the sum of its proper divisors (4478362134876).

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

2001628925604 is a wasteful number, since it uses less digits than its factorization.

2001628925604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375007 (or 374999 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2001628925604 in words is "two trillion, one billion, six hundred twenty-eight million, nine hundred twenty-five thousand, six hundred four".