2014053100 has 72 divisors (see below), whose sum is σ = 4455214848. Its totient is φ = 790152000.

The previous prime is 2014053091. The next prime is 2014053101. The reversal of 2014053100 is 13504102.

It is a super-2 number, since 2×2014053100² = 8112819779239220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2014053101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252497 + ... + 1254103.

It is an arithmetic number, because the mean of its divisors is an integer number (61877984).

Almost surely, 2^2014053100 is an apocalyptic number.

2014053100 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 2014053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227607424).

2014053100 is an abundant number, since it is smaller than the sum of its proper divisors (2441161748).

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

2014053100 is a wasteful number, since it uses less digits than its factorization.

2014053100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2014053100 is about 44878.2029497617. The cubic root of 2014053100 is about 1262.8651311307.

Adding to 2014053100 its reverse (13504102), we get a palindrome (2027557202).

The spelling of 2014053100 in words is "two billion, fourteen million, fifty-three thousand, one hundred".