2034509802880 has 128 divisors (see below), whose sum is σ = 5027475225600. Its totient is φ = 786480814080.

The previous prime is 2034509802839. The next prime is 2034509802881. The reversal of 2034509802880 is 882089054302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034509802881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14592379 + ... + 14731141.

It is an arithmetic number, because the mean of its divisors is an integer number (39277150200).

Almost surely, 2^{2034509802880} is an apocalyptic number.

2034509802880 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 2034509802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513737612800).

2034509802880 is an abundant number, since it is smaller than the sum of its proper divisors (2992965422720).

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

2034509802880 is a wasteful number, since it uses less digits than its factorization.

2034509802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139552 (or 139540 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 2034509802880 in words is "two trillion, thirty-four billion, five hundred nine million, eight hundred two thousand, eight hundred eighty".