2034864823680 has 512 divisors, whose sum is σ = 7941713472000. Its totient is φ = 489238880256.

The previous prime is 2034864823643. The next prime is 2034864823699. The reversal of 2034864823680 is 863284684302.

2034864823680 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 86 + 482 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9554191 + ... + 9764849.

It is an arithmetic number, because the mean of its divisors is an integer number (15511159125).

Almost surely, 2^{2034864823680} is an apocalyptic number.

2034864823680 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 2034864823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970856736000).

2034864823680 is an abundant number, since it is smaller than the sum of its proper divisors (5906848648320).

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

2034864823680 is a wasteful number, since it uses less digits than its factorization.

2034864823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210743 (or 210725 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2034864823680 in words is "two trillion, thirty-four billion, eight hundred sixty-four million, eight hundred twenty-three thousand, six hundred eighty".