2001948058800 has 240 divisors, whose sum is σ = 7291162046080. Its totient is φ = 521437512960.

The previous prime is 2001948058777. The next prime is 2001948058811. The reversal of 2001948058800 is 88508491002.

It is a happy number.

2001948058800 is a `hidden beast` number, since 20 + 0 + 1 + 9 + 48 + 0 + 588 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 1691014 + ... + 2619813.

Almost surely, 2^{2001948058800} is an apocalyptic number.

2001948058800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001948058800 is an abundant number, since it is smaller than the sum of its proper divisors (5289213987280).

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

2001948058800 is a wasteful number, since it uses less digits than its factorization.

2001948058800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310897 (or 4310880 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 2001948058800 in words is "two trillion, one billion, nine hundred forty-eight million, fifty-eight thousand, eight hundred".