2701676142 has 144 divisors (see below), whose sum is σ = 6876966096. Its totient is φ = 763276800.

The previous prime is 2701676129. The next prime is 2701676149. The reversal of 2701676142 is 2416761072.

2701676142 is a `hidden beast` number, since 27 + 0 + 16 + 7 + 614 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2701676097 and 2701676106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2701676149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4850128 + ... + 4850684.

It is an arithmetic number, because the mean of its divisors is an integer number (47756709).

Almost surely, 2^2701676142 is an apocalyptic number.

2701676142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701676142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438483048).

2701676142 is an abundant number, since it is smaller than the sum of its proper divisors (4175289954).

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

2701676142 is a wasteful number, since it uses less digits than its factorization.

2701676142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2701676142 is about 51977.6504086131. The cubic root of 2701676142 is about 1392.7647372183.

The spelling of 2701676142 in words is "two billion, seven hundred one million, six hundred seventy-six thousand, one hundred forty-two".