2034149345280 has 1728 divisors, whose sum is σ = 8408606235120. Its totient is φ = 467820085248.

The previous prime is 2034149345243. The next prime is 2034149345299. The reversal of 2034149345280 is 825439414302.

2034149345280 is a `hidden beast` number, since 2 + 0 + 3 + 41 + 493 + 45 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 865882358784 + 1168266986496 = 930528^2 + 1080864^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14847805372 + ... + 14847805508.

Almost surely, 2^{2034149345280} is an apocalyptic number.

2034149345280 is a gapful number since it is divisible by the number (20) 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 2034149345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204303117560).

2034149345280 is an abundant number, since it is smaller than the sum of its proper divisors (6374456889840).

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

2034149345280 is an equidigital number, since it uses as much as digits as its factorization.

2034149345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2034149345280 in words is "two trillion, thirty-four billion, one hundred forty-nine million, three hundred forty-five thousand, two hundred eighty".