1977971424 has 192 divisors, whose sum is σ = 6147187200. Its totient is φ = 548997120.

The previous prime is 1977971389. The next prime is 1977971449. The reversal of 1977971424 is 4241797791.

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, 2044989 + ... + 2045955.

It is an arithmetic number, because the mean of its divisors is an integer number (32016600).

Almost surely, 2^1977971424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977971424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073593600).

1977971424 is an abundant number, since it is smaller than the sum of its proper divisors (4169215776).

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

1977971424 is a wasteful number, since it uses less digits than its factorization.

1977971424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 1977971424 is about 44474.3906534986. The cubic root of 1977971424 is about 1255.2782511343.

The spelling of 1977971424 in words is "one billion, nine hundred seventy-seven million, nine hundred seventy-one thousand, four hundred twenty-four".