1970911872 has 128 divisors (see below), whose sum is σ = 5836032000. Its totient is φ = 654815232.

The previous prime is 1970911849. The next prime is 1970911897. The reversal of 1970911872 is 2781190791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322904 + ... + 1324392.

It is an arithmetic number, because the mean of its divisors is an integer number (45594000).

Almost surely, 2^1970911872 is an apocalyptic number.

1970911872 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 1970911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918016000).

1970911872 is an abundant number, since it is smaller than the sum of its proper divisors (3865120128).

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

1970911872 is a wasteful number, since it uses less digits than its factorization.

1970911872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The square root of 1970911872 is about 44394.9532266901. The cubic root of 1970911872 is about 1253.7830718370.

The spelling of 1970911872 in words is "one billion, nine hundred seventy million, nine hundred eleven thousand, eight hundred seventy-two".