2014128640 has 60 divisors (see below), whose sum is σ = 4834638666. Its totient is φ = 804743168.

The previous prime is 2014128617. The next prime is 2014128659. The reversal of 2014128640 is 468214102.

It can be written as a sum of positive squares in only one way, i.e., 1812715776 + 201412864 = 42576^2 + 14192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2014128599 and 2014128608.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2270277 + ... + 2271163.

Almost surely, 2^2014128640 is an apocalyptic number.

2014128640 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 2014128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417319333).

2014128640 is an abundant number, since it is smaller than the sum of its proper divisors (2820510026).

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

2014128640 is an frugal number, since it uses more digits than its factorization.

2014128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2014128640 is about 44879.0445531096. The cubic root of 2014128640 is about 1262.8809194664.

The spelling of 2014128640 in words is "two billion, fourteen million, one hundred twenty-eight thousand, six hundred forty".