2001995673600 has 1248 divisors, whose sum is σ = 7476994330624. Its totient is φ = 469263974400.

The previous prime is 2001995673583. The next prime is 2001995673677. The reversal of 2001995673600 is 63765991002.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×2001995673600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2001995673600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12751564722 + ... + 12751564878.

Almost surely, 2^{2001995673600} is an apocalyptic number.

2001995673600 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 2001995673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738497165312).

2001995673600 is an abundant number, since it is smaller than the sum of its proper divisors (5474998657024).

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

2001995673600 is a wasteful number, since it uses less digits than its factorization.

2001995673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 2001995673600 in words is "two trillion, one billion, nine hundred ninety-five million, six hundred seventy-three thousand, six hundred".