1971180640 has 192 divisors, whose sum is σ = 5531706432. Its totient is φ = 654336000.

The previous prime is 1971180613. The next prime is 1971180677. The reversal of 1971180640 is 460811791.

It is a self number, because there is not a number n which added to its sum of digits gives 1971180640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2310454 + ... + 2311306.

It is an arithmetic number, because the mean of its divisors is an integer number (28810971).

Almost surely, 2^1971180640 is an apocalyptic number.

1971180640 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 1971180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765853216).

1971180640 is an abundant number, since it is smaller than the sum of its proper divisors (3560525792).

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

1971180640 is a wasteful number, since it uses less digits than its factorization.

1971180640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1971180640 is about 44397.9801342358. The cubic root of 1971180640 is about 1253.8400609321.

The spelling of 1971180640 in words is "one billion, nine hundred seventy-one million, one hundred eighty thousand, six hundred forty".