2673409456320 has 224 divisors, whose sum is σ = 8830887591936. Its totient is φ = 684478771200.

The previous prime is 2673409456301. The next prime is 2673409456337. The reversal of 2673409456320 is 236549043762.

It is a super-2 number, since 2×2673409456320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3425850 + ... + 4133190.

Almost surely, 2^{2673409456320} is an apocalyptic number.

2673409456320 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 2673409456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415443795968).

2673409456320 is an abundant number, since it is smaller than the sum of its proper divisors (6157478135616).

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

2673409456320 is a wasteful number, since it uses less digits than its factorization.

2673409456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707519 (or 707509 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 2673409456320 in words is "two trillion, six hundred seventy-three billion, four hundred nine million, four hundred fifty-six thousand, three hundred twenty".