2072864560 has 80 divisors (see below), whose sum is σ = 5205916800. Its totient is φ = 763038720.

The previous prime is 2072864551. The next prime is 2072864561. The reversal of 2072864560 is 654682702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2072864561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360105 + ... + 365815.

It is an arithmetic number, because the mean of its divisors is an integer number (65073960).

Almost surely, 2^2072864560 is an apocalyptic number.

2072864560 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 2072864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602958400).

2072864560 is an abundant number, since it is smaller than the sum of its proper divisors (3133052240).

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

2072864560 is a wasteful number, since it uses less digits than its factorization.

2072864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 2072864560 is about 45528.7223629216. The cubic root of 2072864560 is about 1275.0395087078.

The spelling of 2072864560 in words is "two billion, seventy-two million, eight hundred sixty-four thousand, five hundred sixty".