2031971040 has 288 divisors, whose sum is σ = 7620552576. Its totient is φ = 488954880.

The previous prime is 2031971027. The next prime is 2031971047. The reversal of 2031971040 is 401791302.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2031970995 and 2031971013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031971047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581527 + ... + 2582313.

It is an arithmetic number, because the mean of its divisors is an integer number (26460252).

Almost surely, 2^2031971040 is an apocalyptic number.

2031971040 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 2031971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810276288).

2031971040 is an abundant number, since it is smaller than the sum of its proper divisors (5588581536).

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

2031971040 is a wasteful number, since it uses less digits than its factorization.

2031971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2031971040 is about 45077.3894541376. The cubic root of 2031971040 is about 1266.5990890386.

The spelling of 2031971040 in words is "two billion, thirty-one million, nine hundred seventy-one thousand, forty".