2052072960 has 640 divisors, whose sum is σ = 8249472000. Its totient is φ = 433520640.

The previous prime is 2052072959. The next prime is 2052072991. The reversal of 2052072960 is 692702502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2052072960² = 8422006866326323200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50050540 + ... + 50050580.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^2052072960 is an apocalyptic number.

2052072960 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 2052072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736000).

2052072960 is an abundant number, since it is smaller than the sum of its proper divisors (6197399040).

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

2052072960 is an equidigital number, since it uses as much as digits as its factorization.

2052072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2052072960 is about 45299.8119201394. The cubic root of 2052072960 is about 1270.7621358041.

The spelling of 2052072960 in words is "two billion, fifty-two million, seventy-two thousand, nine hundred sixty".