2673139633920 has 1296 divisors, whose sum is σ = 11568181847040. Its totient is φ = 566422585344.

The previous prime is 2673139633897. The next prime is 2673139633973. The reversal of 2673139633920 is 293369313762.

2673139633920 is a `hidden beast` number, since 2 + 67 + 3 + 139 + 63 + 392 + 0 = 666.

It is a super-2 number, since 2×2673139633920² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 504077989 + ... + 504083291.

It is an arithmetic number, because the mean of its divisors is an integer number (8926066240).

Almost surely, 2^{2673139633920} is an apocalyptic number.

2673139633920 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 2673139633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784090923520).

2673139633920 is an abundant number, since it is smaller than the sum of its proper divisors (8895042213120).

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

2673139633920 is a wasteful number, since it uses less digits than its factorization.

2673139633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 54.

The spelling of 2673139633920 in words is "two trillion, six hundred seventy-three billion, one hundred thirty-nine million, six hundred thirty-three thousand, nine hundred twenty".