1970982072 has 80 divisors (see below), whose sum is σ = 5529724200. Its totient is φ = 655905600.

The previous prime is 1970982049. The next prime is 1970982103. The reversal of 1970982072 is 2702890791.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 452079 + ... + 456417.

Almost surely, 2^1970982072 is an apocalyptic number.

1970982072 is a gapful number since it is divisible by the number (12) 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 1970982072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764862100).

1970982072 is an abundant number, since it is smaller than the sum of its proper divisors (3558742128).

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

1970982072 is a wasteful number, since it uses less digits than its factorization.

1970982072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1970982072 is about 44395.7438500584. The cubic root of 1970982072 is about 1253.7979574217.

The spelling of 1970982072 in words is "one billion, nine hundred seventy million, nine hundred eighty-two thousand, seventy-two".