2124414310431 has 16 divisors (see below), whose sum is σ = 3237236681984. Its totient is φ = 1213938313344.

The previous prime is 2124414310429. The next prime is 2124414310471. The reversal of 2124414310431 is 1340134144212.

It is a happy number.

It is not a de Polignac number, because 2124414310431 - 2¹ = 2124414310429 is a prime.

It is a super-2 number, since 2×2124414310431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124414310411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749660 + ... + 2703726.

It is an arithmetic number, because the mean of its divisors is an integer number (202327292624).

Almost surely, 2^{2124414310431} is an apocalyptic number.

2124414310431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2124414310431 is a deficient number, since it is larger than the sum of its proper divisors (1112822371553).

2124414310431 is a wasteful number, since it uses less digits than its factorization.

2124414310431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060110.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2124414310431 its reverse (1340134144212), we get a palindrome (3464548454643).

The spelling of 2124414310431 in words is "two trillion, one hundred twenty-four billion, four hundred fourteen million, three hundred ten thousand, four hundred thirty-one".