2114314625724 has 288 divisors, whose sum is σ = 6279218233344. Its totient is φ = 549620951040.

The previous prime is 2114314625713. The next prime is 2114314625729. The reversal of 2114314625724 is 4275264134112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114314625729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336832074 + ... + 336838350.

It is an arithmetic number, because the mean of its divisors is an integer number (21802841088).

Almost surely, 2^{2114314625724} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114314625724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139609116672).

2114314625724 is an abundant number, since it is smaller than the sum of its proper divisors (4164903607620).

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

2114314625724 is a wasteful number, since it uses less digits than its factorization.

2114314625724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7424 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

Adding to 2114314625724 its reverse (4275264134112), we get a palindrome (6389578759836).

The spelling of 2114314625724 in words is "two trillion, one hundred fourteen billion, three hundred fourteen million, six hundred twenty-five thousand, seven hundred twenty-four".