2001545252000 has 384 divisors, whose sum is σ = 6089403640320. Its totient is φ = 630849945600.

The previous prime is 2001545251999. The next prime is 2001545252011. The reversal of 2001545252000 is 2525451002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20419106 + ... + 20516894.

It is an arithmetic number, because the mean of its divisors is an integer number (15857821980).

Almost surely, 2^{2001545252000} is an apocalyptic number.

2001545252000 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 2001545252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044701820160).

2001545252000 is an abundant number, since it is smaller than the sum of its proper divisors (4087858388320).

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

2001545252000 is a wasteful number, since it uses less digits than its factorization.

2001545252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97881 (or 97863 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 2001545252000 in words is "two trillion, one billion, five hundred forty-five million, two hundred fifty-two thousand".