2039672960 has 128 divisors (see below), whose sum is σ = 5331009600. Its totient is φ = 741666816.

The previous prime is 2039672911. The next prime is 2039672963. The reversal of 2039672960 is 692769302.

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

It is not an unprimeable number, because it can be changed into a prime (2039672963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555611 + ... + 559269.

Almost surely, 2^2039672960 is an apocalyptic number.

2039672960 is a gapful number since it is divisible by the number (20) 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 2039672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665504800).

2039672960 is an abundant number, since it is smaller than the sum of its proper divisors (3291336640).

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

2039672960 is a wasteful number, since it uses less digits than its factorization.

2039672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 2039672960 is about 45162.7386237814. The cubic root of 2039672960 is about 1268.1973640184.

The spelling of 2039672960 in words is "two billion, thirty-nine million, six hundred seventy-two thousand, nine hundred sixty".