2034042298288 has 180 divisors, whose sum is σ = 5426648401440. Its totient is φ = 731523260160.

The previous prime is 2034042298279. The next prime is 2034042298289. The reversal of 2034042298288 is 8828922404302.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2034042298289) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408553 + ... + 2057911.

Almost surely, 2^{2034042298288} is an apocalyptic number.

2034042298288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034042298288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713324200720).

2034042298288 is an abundant number, since it is smaller than the sum of its proper divisors (3392606103152).

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

2034042298288 is a wasteful number, since it uses less digits than its factorization.

2034042298288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649416 (or 1649392 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 2034042298288 in words is "two trillion, thirty-four billion, forty-two million, two hundred ninety-eight thousand, two hundred eighty-eight".