1972000000 has 252 divisors, whose sum is σ = 5389384140. Its totient is φ = 716800000.

The previous prime is 1971999973. The next prime is 1972000003. The reversal of 1972000000 is 2791.

It can be written as a sum of positive squares in 14 ways, for example, as 1835951104 + 136048896 = 42848^2 + 11664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67999986 + ... + 68000014.

It is an arithmetic number, because the mean of its divisors is an integer number (21386445).

Almost surely, 2^1972000000 is an apocalyptic number.

1972000000 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 1972000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694692070).

1972000000 is an abundant number, since it is smaller than the sum of its proper divisors (3417384140).

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

1972000000 is an frugal number, since it uses more digits than its factorization.

1972000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1972000000 is about 44407.2066223490. The cubic root of 1972000000 is about 1254.0137646267.

Adding to 1972000000 its reverse (2791), we get a palindrome (1972002791).

The spelling of 1972000000 in words is "one billion, nine hundred seventy-two million", and thus it is an aban number.