2014106742 has 64 divisors (see below), whose sum is σ = 4800384000. Its totient is φ = 624016224.

The previous prime is 2014106737. The next prime is 2014106767. The reversal of 2014106742 is 2476014102.

2014106742 is a `hidden beast` number, since 201 + 410 + 6 + 7 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35859 + ... + 72897.

It is an arithmetic number, because the mean of its divisors is an integer number (75006000).

Almost surely, 2^2014106742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014106742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400192000).

2014106742 is an abundant number, since it is smaller than the sum of its proper divisors (2786277258).

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

2014106742 is a wasteful number, since it uses less digits than its factorization.

2014106742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37122 (or 37116 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2014106742 is about 44878.8005855772. The cubic root of 2014106742 is about 1262.8763426872.

The spelling of 2014106742 in words is "two billion, fourteen million, one hundred six thousand, seven hundred forty-two".