2071956240 has 320 divisors, whose sum is σ = 7366195200. Its totient is φ = 535113216.

The previous prime is 2071956217. The next prime is 2071956241. The reversal of 2071956240 is 426591702.

2071956240 is a `hidden beast` number, since 20 + 7 + 1 + 9 + 5 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2071956195 and 2071956204.

It is not an unprimeable number, because it can be changed into a prime (2071956241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14906091 + ... + 14906229.

It is an arithmetic number, because the mean of its divisors is an integer number (23019360).

Almost surely, 2^2071956240 is an apocalyptic number.

2071956240 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 2071956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683097600).

2071956240 is an abundant number, since it is smaller than the sum of its proper divisors (5294238960).

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

2071956240 is a wasteful number, since it uses less digits than its factorization.

2071956240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2071956240 is about 45518.7460284222. The cubic root of 2071956240 is about 1274.8532426239.

The spelling of 2071956240 in words is "two billion, seventy-one million, nine hundred fifty-six thousand, two hundred forty".