2028414440 has 64 divisors (see below), whose sum is σ = 4940202960. Its totient is φ = 745113600.

The previous prime is 2028414431. The next prime is 2028414457. The reversal of 2028414440 is 444148202.

It can be written as a sum of positive squares in 8 ways, for example, as 388326436 + 1640088004 = 19706^2 + 40498^2 .

It is a super-2 number, since 2×2028414440² = 8228930280801027200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92540 + ... + 112340.

Almost surely, 2^2028414440 is an apocalyptic number.

2028414440 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 2028414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470101480).

2028414440 is an abundant number, since it is smaller than the sum of its proper divisors (2911788520).

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

2028414440 is a wasteful number, since it uses less digits than its factorization.

2028414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

The square root of 2028414440 is about 45037.9222433718. The cubic root of 2028414440 is about 1265.8596727998.

The spelling of 2028414440 in words is "two billion, twenty-eight million, four hundred fourteen thousand, four hundred forty".