2073218201600 has 576 divisors, whose sum is σ = 6481458285120. Its totient is φ = 640077004800.

The previous prime is 2073218201599. The next prime is 2073218201687. The reversal of 2073218201600 is 61028123702.

It is a super-2 number, since 2×2073218201600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191021774 + ... + 191032626.

It is an arithmetic number, because the mean of its divisors is an integer number (11252531745).

Almost surely, 2^{2073218201600} is an apocalyptic number.

2073218201600 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 2073218201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240729142560).

2073218201600 is an abundant number, since it is smaller than the sum of its proper divisors (4408240083520).

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

2073218201600 is a wasteful number, since it uses less digits than its factorization.

2073218201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 2073218201600 in words is "two trillion, seventy-three billion, two hundred eighteen million, two hundred one thousand, six hundred".