2034380828160 has 1280 divisors, whose sum is σ = 7980303513600. Its totient is φ = 488945221632.

The previous prime is 2034380828159. The next prime is 2034380828197. The reversal of 2034380828160 is 618280834302.

2034380828160 is a `hidden beast` number, since 2 + 0 + 3 + 438 + 0 + 82 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7735288189 + ... + 7735288451.

It is an arithmetic number, because the mean of its divisors is an integer number (6234612120).

Almost surely, 2^{2034380828160} is an apocalyptic number.

2034380828160 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 2034380828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990151756800).

2034380828160 is an abundant number, since it is smaller than the sum of its proper divisors (5945922685440).

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

2034380828160 is a wasteful number, since it uses less digits than its factorization.

2034380828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2034380828160 in words is "two trillion, thirty-four billion, three hundred eighty million, eight hundred twenty-eight thousand, one hundred sixty".