2673252963744 has 384 divisors, whose sum is σ = 8038924185600. Its totient is φ = 769942609920.

The previous prime is 2673252963727. The next prime is 2673252963781. The reversal of 2673252963744 is 4473692523762.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 4360934382 + ... + 4360934994.

It is an arithmetic number, because the mean of its divisors is an integer number (20934698400).

Almost surely, 2^{2673252963744} is an apocalyptic number.

2673252963744 is a gapful number since it is divisible by the number (24) 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 2673252963744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019462092800).

2673252963744 is an abundant number, since it is smaller than the sum of its proper divisors (5365671221856).

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

2673252963744 is a wasteful number, since it uses less digits than its factorization.

2673252963744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 60.

The spelling of 2673252963744 in words is "two trillion, six hundred seventy-three billion, two hundred fifty-two million, nine hundred sixty-three thousand, seven hundred forty-four".