2073553920256 has 729 divisors, whose sum is σ = 5579850855789. Its totient is φ = 766394044416.

The previous prime is 2073553920239. The next prime is 2073553920313. The reversal of 2073553920256 is 6520293553702.

The square root of 2073553920256 is 1439984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 306738745600 + 1766815174656 = 553840^2 + 1329216^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48222184171 + ... + 48222184213.

Almost surely, 2^{2073553920256} is an apocalyptic number.

2073553920256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2073553920256 is the 1439984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073553920256

2073553920256 is an abundant number, since it is smaller than the sum of its proper divisors (3506296935533).

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

2073553920256 is an equidigital number, since it uses as much as digits as its factorization.

2073553920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 49.

Multiplying 2073553920256 by its sum of digits (49), we get a square (101604142092544 = 10079888²).

2073553920256 divided by its sum of digits (49) gives a square (42317426944 = 205712²).

The spelling of 2073553920256 in words is "two trillion, seventy-three billion, five hundred fifty-three million, nine hundred twenty thousand, two hundred fifty-six".