2683069297920 has 1728 divisors, whose sum is σ = 11227665705984. Its totient is φ = 606274191360.

The previous prime is 2683069297919. The next prime is 2683069297999. The reversal of 2683069297920 is 297929603862.

2683069297920 is a `hidden beast` number, since 268 + 3 + 0 + 69 + 297 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9480810099 + ... + 9480810381.

It is an arithmetic number, because the mean of its divisors is an integer number (6497491728).

Almost surely, 2^{2683069297920} is an apocalyptic number.

2683069297920 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 2683069297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613832852992).

2683069297920 is an abundant number, since it is smaller than the sum of its proper divisors (8544596408064).

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

2683069297920 is a wasteful number, since it uses less digits than its factorization.

2683069297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 2683069297920 in words is "two trillion, six hundred eighty-three billion, sixty-nine million, two hundred ninety-seven thousand, nine hundred twenty".