2006545570400 has 432 divisors, whose sum is σ = 6005785761360. Its totient is φ = 650919628800.

The previous prime is 2006545570363. The next prime is 2006545570423. The reversal of 2006545570400 is 40755456002.

It is a super-2 number, since 2×2006545570400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 903441290 + ... + 903443510.

It is an arithmetic number, because the mean of its divisors is an integer number (13902281855).

Almost surely, 2^{2006545570400} is an apocalyptic number.

2006545570400 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 2006545570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002892880680).

2006545570400 is an abundant number, since it is smaller than the sum of its proper divisors (3999240190960).

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

2006545570400 is a wasteful number, since it uses less digits than its factorization.

2006545570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 38.

The spelling of 2006545570400 in words is "two trillion, six billion, five hundred forty-five million, five hundred seventy thousand, four hundred".