2071242720 has 144 divisors (see below), whose sum is σ = 7120386000. Its totient is φ = 548247552.

The previous prime is 2071242697. The next prime is 2071242751. The reversal of 2071242720 is 272421702.

2071242720 is a `hidden beast` number, since 207 + 12 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192031 + ... + 202529.

It is an arithmetic number, because the mean of its divisors is an integer number (49447125).

Almost surely, 2^2071242720 is an apocalyptic number.

2071242720 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 2071242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560193000).

2071242720 is an abundant number, since it is smaller than the sum of its proper divisors (5049143280).

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

2071242720 is a wasteful number, since it uses less digits than its factorization.

2071242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2071242720 is about 45510.9077035385. The cubic root of 2071242720 is about 1274.7068853304.

The spelling of 2071242720 in words is "two billion, seventy-one million, two hundred forty-two thousand, seven hundred twenty".