2002001019975 has 216 divisors, whose sum is σ = 4197929422960. Its totient is φ = 944420083200.

The previous prime is 2002001019971. The next prime is 2002001019979. The reversal of 2002001019975 is 5799101002002.

It is an interprime number because it is at equal distance from previous prime (2002001019971) and next prime (2002001019979).

It is not a de Polignac number, because 2002001019975 - 2² = 2002001019971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001019971) 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 215 ways as a sum of consecutive naturals, for example, 27160971 + ... + 27234579.

Almost surely, 2^{2002001019975} is an apocalyptic number.

2002001019975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2002001019975 is an abundant number, since it is smaller than the sum of its proper divisors (2195928402985).

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

2002001019975 is a wasteful number, since it uses less digits than its factorization.

2002001019975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73693 (or 73665 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 2002001019975 in words is "two trillion, two billion, one million, nineteen thousand, nine hundred seventy-five".