2006752921600 has 288 divisors, whose sum is σ = 5691198240000. Its totient is φ = 687439872000.

The previous prime is 2006752921583. The next prime is 2006752921627. The reversal of 2006752921600 is 61292576002.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716440200 + ... + 716443000.

It is an arithmetic number, because the mean of its divisors is an integer number (19761105000).

Almost surely, 2^{2006752921600} is an apocalyptic number.

2006752921600 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 2006752921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845599120000).

2006752921600 is an abundant number, since it is smaller than the sum of its proper divisors (3684445318400).

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

2006752921600 is a wasteful number, since it uses less digits than its factorization.

2006752921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 2006752921600 in words is "two trillion, six billion, seven hundred fifty-two million, nine hundred twenty-one thousand, six hundred".