2114103040 has 216 divisors, whose sum is σ = 6056551872. Its totient is φ = 704471040.

The previous prime is 2114102989. The next prime is 2114103053. The reversal of 2114103040 is 403014112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320185 + ... + 2321095.

It is an arithmetic number, because the mean of its divisors is an integer number (28039592).

Almost surely, 2^2114103040 is an apocalyptic number.

2114103040 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 2114103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028275936).

2114103040 is an abundant number, since it is smaller than the sum of its proper divisors (3942448832).

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

2114103040 is an equidigital number, since it uses as much as digits as its factorization.

2114103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2114103040 is about 45979.3762463129. The cubic root of 2114103040 is about 1283.4394476075.

Adding to 2114103040 its reverse (403014112), we get a palindrome (2517117152).

The spelling of 2114103040 in words is "two billion, one hundred fourteen million, one hundred three thousand, forty".