2069141760 has 360 divisors, whose sum is σ = 8464416576. Its totient is φ = 472780800.

The previous prime is 2069141759. The next prime is 2069141803. The reversal of 2069141760 is 671419602.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724335 + ... + 727185.

Almost surely, 2^2069141760 is an apocalyptic number.

2069141760 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 2069141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232208288).

2069141760 is an abundant number, since it is smaller than the sum of its proper divisors (6395274816).

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

2069141760 is an equidigital number, since it uses as much as digits as its factorization.

2069141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2069141760 is about 45487.8199081908. The cubic root of 2069141760 is about 1274.2757409143.

The spelling of 2069141760 in words is "two billion, sixty-nine million, one hundred forty-one thousand, seven hundred sixty".