2071030042368 has 648 divisors, whose sum is σ = 7221389535360. Its totient is φ = 590251898880.

The previous prime is 2071030042343. The next prime is 2071030042379. The reversal of 2071030042368 is 8632400301702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 2008758013 + ... + 2008759043.

Almost surely, 2^{2071030042368} is an apocalyptic number.

2071030042368 is a gapful number since it is divisible by the number (28) 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 2071030042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610694767680).

2071030042368 is an abundant number, since it is smaller than the sum of its proper divisors (5150359492992).

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

2071030042368 is an equidigital number, since it uses as much as digits as its factorization.

2071030042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2071030042368 in words is "two trillion, seventy-one billion, thirty million, forty-two thousand, three hundred sixty-eight".