2014264131000 has 192 divisors, whose sum is σ = 6907761937440. Its totient is φ = 488306368000.

The previous prime is 2014264130953. The next prime is 2014264131007. The reversal of 2014264131000 is 1314624102.

It is a super-2 number, since 2×2014264131000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014264131007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2411469 + ... + 3137468.

Almost surely, 2^{2014264131000} is an apocalyptic number.

2014264131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014264131000 is an abundant number, since it is smaller than the sum of its proper divisors (4893497806440).

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

2014264131000 is a wasteful number, since it uses less digits than its factorization.

2014264131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548983 (or 5548958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2014264131000 its reverse (1314624102), we get a palindrome (2015578755102).

The spelling of 2014264131000 in words is "two trillion, fourteen billion, two hundred sixty-four million, one hundred thirty-one thousand".