2028012960 has 192 divisors, whose sum is σ = 6811402752. Its totient is φ = 505430016.

The previous prime is 2028012923. The next prime is 2028012997. The reversal of 2028012960 is 692108202.

It is an interprime number because it is at equal distance from previous prime (2028012923) and next prime (2028012997).

It is a super-2 number, since 2×2028012960² = 8225673131855923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280329 + ... + 1281911.

It is an arithmetic number, because the mean of its divisors is an integer number (35476056).

Almost surely, 2^2028012960 is an apocalyptic number.

2028012960 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 2028012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405701376).

2028012960 is an abundant number, since it is smaller than the sum of its proper divisors (4783389792).

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

2028012960 is a wasteful number, since it uses less digits than its factorization.

2028012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2028012960 is about 45033.4648900126. The cubic root of 2028012960 is about 1265.7761509341.

It can be divided in two parts, 202801 and 2960, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 2028012960 in words is "two billion, twenty-eight million, twelve thousand, nine hundred sixty".