2753966401824 has 192 divisors, whose sum is σ = 8344454146560. Its totient is φ = 786514821120.

The previous prime is 2753966401763. The next prime is 2753966401847. The reversal of 2753966401824 is 4281046693572.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3516759 + ... + 4227945.

It is an arithmetic number, because the mean of its divisors is an integer number (43460698680).

It is a 1-persistent number, because it is pandigital, but 2⋅2753966401824 = 5507932803648 is not.

Almost surely, 2^{2753966401824} is an apocalyptic number.

2753966401824 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 2753966401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172227073280).

2753966401824 is an abundant number, since it is smaller than the sum of its proper divisors (5590487744736).

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

2753966401824 is a wasteful number, since it uses less digits than its factorization.

2753966401824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711423 (or 711415 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 2753966401824 in words is "two trillion, seven hundred fifty-three billion, nine hundred sixty-six million, four hundred one thousand, eight hundred twenty-four".