2034278834742 has 128 divisors (see below), whose sum is σ = 5648435297280. Its totient is φ = 527227418880.

The previous prime is 2034278834723. The next prime is 2034278834761. The reversal of 2034278834742 is 2474388724302.

2034278834742 is a `hidden beast` number, since 20 + 3 + 4 + 2 + 78 + 83 + 474 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2034278834723) and next prime (2034278834761).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1364928 + ... + 2435484.

It is an arithmetic number, because the mean of its divisors is an integer number (44128400760).

Almost surely, 2^{2034278834742} is an apocalyptic number.

2034278834742 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 2034278834742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824217648640).

2034278834742 is an abundant number, since it is smaller than the sum of its proper divisors (3614156462538).

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

2034278834742 is a wasteful number, since it uses less digits than its factorization.

2034278834742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071043 (or 1071037 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 2034278834742 in words is "two trillion, thirty-four billion, two hundred seventy-eight million, eight hundred thirty-four thousand, seven hundred forty-two".