2028714240 has 288 divisors, whose sum is σ = 7516164096. Its totient is φ = 456744960.

The previous prime is 2028714203. The next prime is 2028714257. The reversal of 2028714240 is 424178202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2028714198 and 2028714207.

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, 1907949 + ... + 1909011.

It is an arithmetic number, because the mean of its divisors is an integer number (26097792).

Almost surely, 2^2028714240 is an apocalyptic number.

2028714240 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 2028714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758082048).

2028714240 is an abundant number, since it is smaller than the sum of its proper divisors (5487449856).

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

2028714240 is a wasteful number, since it uses less digits than its factorization.

2028714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2028714240 is about 45041.2504266922. The cubic root of 2028714240 is about 1265.9220344860.

The spelling of 2028714240 in words is "two billion, twenty-eight million, seven hundred fourteen thousand, two hundred forty".