2014884102 has 128 divisors (see below), whose sum is σ = 5149163520. Its totient is φ = 510474240.

The previous prime is 2014884101. The next prime is 2014884119.

2014884102 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2014884102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014884101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5260603 + ... + 5260985.

It is an arithmetic number, because the mean of its divisors is an integer number (40227840).

Almost surely, 2^2014884102 is an apocalyptic number.

2014884102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014884102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574581760).

2014884102 is an abundant number, since it is smaller than the sum of its proper divisors (3134279418).

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

2014884102 is a wasteful number, since it uses less digits than its factorization.

2014884102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2014884102 is about 44887.4604093393. The cubic root of 2014884102 is about 1263.0387940708.

The spelling of 2014884102 in words is "two billion, fourteen million, eight hundred eighty-four thousand, one hundred two".