2046015820800 has 1584 divisors, whose sum is σ = 9199214069760. Its totient is φ = 423638138880.

The previous prime is 2046015820729. The next prime is 2046015820817. The reversal of 2046015820800 is 80285106402.

2046015820800 is a `hidden beast` number, since 20 + 4 + 601 + 5 + 8 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 704792149 + ... + 704795051.

It is an arithmetic number, because the mean of its divisors is an integer number (5807584640).

Almost surely, 2^{2046015820800} is an apocalyptic number.

2046015820800 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 2046015820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599607034880).

2046015820800 is an abundant number, since it is smaller than the sum of its proper divisors (7153198248960).

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

2046015820800 is a wasteful number, since it uses less digits than its factorization.

2046015820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

It can be divided in two parts, 2046015 and 820800, that added together give a triangular number (2866815 = T₂₃₉₄).

The spelling of 2046015820800 in words is "two trillion, forty-six billion, fifteen million, eight hundred twenty thousand, eight hundred".