1971347040 has 576 divisors, whose sum is σ = 7749181440. Its totient is φ = 452874240.

The previous prime is 1971347029. The next prime is 1971347051. The reversal of 1971347040 is 407431791.

It is an interprime number because it is at equal distance from previous prime (1971347029) and next prime (1971347051).

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 = 1971346986 and 1971347004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24953721 + ... + 24953799.

It is an arithmetic number, because the mean of its divisors is an integer number (13453440).

Almost surely, 2^1971347040 is an apocalyptic number.

1971347040 is a gapful number since it is divisible by the number (10) 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 1971347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

1971347040 is an abundant number, since it is smaller than the sum of its proper divisors (5777834400).

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

1971347040 is a wasteful number, since it uses less digits than its factorization.

1971347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

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

The square root of 1971347040 is about 44399.8540538142. The cubic root of 1971347040 is about 1253.8753414997.

The spelling of 1971347040 in words is "one billion, nine hundred seventy-one million, three hundred forty-seven thousand, forty".