1972958724 has 81 divisors (see below), whose sum is σ = 5489957109. Its totient is φ = 596977920.

The previous prime is 1972958677. The next prime is 1972958737. The reversal of 1972958724 is 4278592791.

The square root of 1972958724 is 44418.

It is a perfect power (a square), and thus also a powerful number.

1972958724 is a `hidden beast` number, since 19 + 7 + 29 + 587 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 645668100 + 1327290624 = 25410^2 + 36432^2 .

It is a super-2 number, since 2×1972958724² = 7785132253215416352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2931252 + ... + 2931924.

Almost surely, 2^1972958724 is an apocalyptic number.

1972958724 is the 44418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972958724

1972958724 is an abundant number, since it is smaller than the sum of its proper divisors (3516998385).

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

1972958724 is a wasteful number, since it uses less digits than its factorization.

1972958724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 689 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The cubic root of 1972958724 is about 1254.2169523063.

The spelling of 1972958724 in words is "one billion, nine hundred seventy-two million, nine hundred fifty-eight thousand, seven hundred twenty-four".