2142109431 has 96 divisors (see below), whose sum is σ = 3968640000. Its totient is φ = 1103699520.

The previous prime is 2142109423. The next prime is 2142109441. The reversal of 2142109431 is 1349012412.

It is a happy number.

2142109431 is a `hidden beast` number, since 2 + 14 + 210 + 9 + 431 = 666.

It is not a de Polignac number, because 2142109431 - 2³ = 2142109423 is a prime.

It is a super-2 number, since 2×2142109431² = 9177265628758287522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2142109395 and 2142109404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142109421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6757285 + ... + 6757601.

It is an arithmetic number, because the mean of its divisors is an integer number (41340000).

Almost surely, 2^2142109431 is an apocalyptic number.

2142109431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2142109431 is a deficient number, since it is larger than the sum of its proper divisors (1826530569).

2142109431 is a wasteful number, since it uses less digits than its factorization.

2142109431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2142109431 is about 46282.9280728867. The cubic root of 2142109431 is about 1289.0820204268.

The spelling of 2142109431 in words is "two billion, one hundred forty-two million, one hundred nine thousand, four hundred thirty-one".