2006850303360 has 1440 divisors, whose sum is σ = 8408929829040. Its totient is φ = 440971776000.

The previous prime is 2006850303349. The next prime is 2006850303377. The reversal of 2006850303360 is 633030586002.

It is a happy number.

2006850303360 is a `hidden beast` number, since 2 + 0 + 0 + 68 + 503 + 0 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2006850303360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13290399285 + ... + 13290399435.

Almost surely, 2^{2006850303360} is an apocalyptic number.

2006850303360 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 2006850303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204464914520).

2006850303360 is an abundant number, since it is smaller than the sum of its proper divisors (6402079525680).

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

2006850303360 is an equidigital number, since it uses as much as digits as its factorization.

2006850303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 2006850303360 its reverse (633030586002), we get a palindrome (2639880889362).

The spelling of 2006850303360 in words is "two trillion, six billion, eight hundred fifty million, three hundred three thousand, three hundred sixty".