2001895354368 has 1248 divisors, whose sum is σ = 7518449440320. Its totient is φ = 521711124480.

The previous prime is 2001895354363. The next prime is 2001895354379. The reversal of 2001895354368 is 8634535981002.

2001895354368 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 8 + 9 + 535 + 43 + 68 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001895354363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11060195238 + ... + 11060195418.

It is an arithmetic number, because the mean of its divisors is an integer number (6024398590).

Almost surely, 2^{2001895354368} is an apocalyptic number.

2001895354368 is a gapful number since it is divisible by the number (28) 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 2001895354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759224720160).

2001895354368 is an abundant number, since it is smaller than the sum of its proper divisors (5516554085952).

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

2001895354368 is a wasteful number, since it uses less digits than its factorization.

2001895354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2001895354368 in words is "two trillion, one billion, eight hundred ninety-five million, three hundred fifty-four thousand, three hundred sixty-eight".