2071409760 has 672 divisors, whose sum is σ = 8725812480. Its totient is φ = 454616064.

The previous prime is 2071409729. The next prime is 2071409797. The reversal of 2071409760 is 679041702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35108611 + ... + 35108669.

It is an arithmetic number, because the mean of its divisors is an integer number (12984840).

Almost surely, 2^2071409760 is an apocalyptic number.

2071409760 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 2071409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362906240).

2071409760 is an abundant number, since it is smaller than the sum of its proper divisors (6654402720).

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

2071409760 is an equidigital number, since it uses as much as digits as its factorization.

2071409760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2071409760 is about 45512.7428309918. The cubic root of 2071409760 is about 1274.7411516048.

The spelling of 2071409760 in words is "two billion, seventy-one million, four hundred nine thousand, seven hundred sixty".