2634672146742 has 96 divisors (see below), whose sum is σ = 5973607471104. Its totient is φ = 838363248000.

The previous prime is 2634672146741. The next prime is 2634672146747. The reversal of 2634672146742 is 2476412764362.

2634672146742 is a `hidden beast` number, since 2 + 63 + 4 + 67 + 21 + 467 + 42 = 666.

2634672146742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2634672146741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195865117 + ... + 195878567.

It is an arithmetic number, because the mean of its divisors is an integer number (62225077824).

Almost surely, 2^{2634672146742} is an apocalyptic number.

2634672146742 is an abundant number, since it is smaller than the sum of its proper divisors (3338935324362).

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

2634672146742 is a wasteful number, since it uses less digits than its factorization.

2634672146742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19194 (or 19191 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 2634672146742 in words is "two trillion, six hundred thirty-four billion, six hundred seventy-two million, one hundred forty-six thousand, seven hundred forty-two".