2001542790880 has 192 divisors, whose sum is σ = 4907619601920. Its totient is φ = 770605056000.

The previous prime is 2001542790853. The next prime is 2001542790887. The reversal of 2001542790880 is 880972451002.

It is a super-2 number, since 2×2001542790880² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001542790880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001542790887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250182080 + ... + 1250183680.

It is an arithmetic number, because the mean of its divisors is an integer number (25560518760).

Almost surely, 2^{2001542790880} is an apocalyptic number.

2001542790880 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 2001542790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453809800960).

2001542790880 is an abundant number, since it is smaller than the sum of its proper divisors (2906076811040).

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

2001542790880 is a wasteful number, since it uses less digits than its factorization.

2001542790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 2001542790880 in words is "two trillion, one billion, five hundred forty-two million, seven hundred ninety thousand, eight hundred eighty".