2014164420 has 96 divisors (see below), whose sum is σ = 6072796800. Its totient is φ = 496932864.

The previous prime is 2014164359. The next prime is 2014164473. The reversal of 2014164420 is 244614102.

It is a happy number.

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, 43446 + ... + 76914.

It is an arithmetic number, because the mean of its divisors is an integer number (63258300).

Almost surely, 2^2014164420 is an apocalyptic number.

2014164420 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 2014164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036398400).

2014164420 is an abundant number, since it is smaller than the sum of its proper divisors (4058632380).

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

2014164420 is a wasteful number, since it uses less digits than its factorization.

2014164420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33557 (or 33555 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2014164420 is about 44879.4431783640. The cubic root of 2014164420 is about 1262.8883975740. Note that the first 3 decimals are identical.

Adding to 2014164420 its reverse (244614102), we get a palindrome (2258778522).

The spelling of 2014164420 in words is "two billion, fourteen million, one hundred sixty-four thousand, four hundred twenty".