2028072960 has 156 divisors (see below), whose sum is σ = 7030433592. Its totient is φ = 540770304.

The previous prime is 2028072923. The next prime is 2028072961. The reversal of 2028072960 is 692708202.

It is a super-2 number, since 2×2028072960² = 8226159862166323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028072961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178819 + ... + 189821.

It is an arithmetic number, because the mean of its divisors is an integer number (45066882).

Almost surely, 2^2028072960 is an apocalyptic number.

2028072960 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 2028072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515216796).

2028072960 is an abundant number, since it is smaller than the sum of its proper divisors (5002360632).

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

2028072960 is a wasteful number, since it uses less digits than its factorization.

2028072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11038 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2028072960 is about 45034.1310563444. The cubic root of 2028072960 is about 1265.7886337307.

The spelling of 2028072960 in words is "two billion, twenty-eight million, seventy-two thousand, nine hundred sixty".