2768054365440 has 864 divisors, whose sum is σ = 11820569080320. Its totient is φ = 582381010944.

The previous prime is 2768054365411. The next prime is 2768054365459. The reversal of 2768054365440 is 445634508672.

2768054365440 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 0 + 543 + 6 + 54 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391019821 + ... + 391026899.

Almost surely, 2^{2768054365440} is an apocalyptic number.

2768054365440 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 2768054365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910284540160).

2768054365440 is an abundant number, since it is smaller than the sum of its proper divisors (9052514714880).

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

2768054365440 is a wasteful number, since it uses less digits than its factorization.

2768054365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2768054365440 in words is "two trillion, seven hundred sixty-eight billion, fifty-four million, three hundred sixty-five thousand, four hundred forty".