2034579498048 has 1344 divisors, whose sum is σ = 6988075960320. Its totient is φ = 583371030528.

The previous prime is 2034579497981. The next prime is 2034579498079. The reversal of 2034579498048 is 8408949754302.

2034579498048 is a `hidden beast` number, since 2 + 0 + 3 + 457 + 94 + 98 + 0 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19014761611 + ... + 19014761717.

It is an arithmetic number, because the mean of its divisors is an integer number (5199461280).

Almost surely, 2^{2034579498048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034579498048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494037980160).

2034579498048 is an abundant number, since it is smaller than the sum of its proper divisors (4953496462272).

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

2034579498048 is a wasteful number, since it uses less digits than its factorization.

2034579498048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2034579498048 in words is "two trillion, thirty-four billion, five hundred seventy-nine million, four hundred ninety-eight thousand, forty-eight".