2072960 has 64 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 798720.

The previous prime is 2072953. The next prime is 2072969. The reversal of 2072960 is 692702.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26201 + ... + 26279.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

2^2072960 is an apocalyptic number.

2072960 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 2072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2072960 is an abundant number, since it is smaller than the sum of its proper divisors (3067840).

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

2072960 is an equidigital number, since it uses as much as digits as its factorization.

2072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2072960 is about 1439.7777606284. Note that the first 4 decimals coincide. The cubic root of 2072960 is about 127.5059077104.

The spelling of 2072960 in words is "two million, seventy-two thousand, nine hundred sixty".