2743004168640 has 336 divisors, whose sum is σ = 9781012590336. Its totient is φ = 704828620800.

The previous prime is 2743004168501. The next prime is 2743004168687. The reversal of 2743004168640 is 468614003472.

2743004168640 is a `hidden beast` number, since 274 + 300 + 4 + 16 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 20736310 + ... + 20868170.

Almost surely, 2^{2743004168640} is an apocalyptic number.

2743004168640 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 2743004168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890506295168).

2743004168640 is an abundant number, since it is smaller than the sum of its proper divisors (7038008421696).

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

2743004168640 is a wasteful number, since it uses less digits than its factorization.

2743004168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132148 (or 132135 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2743004168640 in words is "two trillion, seven hundred forty-three billion, four million, one hundred sixty-eight thousand, six hundred forty".