2754868130784 has 576 divisors, whose sum is σ = 10190032699392. Its totient is φ = 711239616000.

The previous prime is 2754868130783. The next prime is 2754868130809. The reversal of 2754868130784 is 4870318684572.

It is a happy number.

2754868130784 is a `hidden beast` number, since 2 + 7 + 5 + 486 + 81 + 3 + 0 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754868130783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99977809 + ... + 100005359.

It is an arithmetic number, because the mean of its divisors is an integer number (17691028992).

Almost surely, 2^{2754868130784} is an apocalyptic number.

2754868130784 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 2754868130784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095016349696).

2754868130784 is an abundant number, since it is smaller than the sum of its proper divisors (7435164568608).

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

2754868130784 is a wasteful number, since it uses less digits than its factorization.

2754868130784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27761 (or 27741 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 2754868130784 in words is "two trillion, seven hundred fifty-four billion, eight hundred sixty-eight million, one hundred thirty thousand, seven hundred eighty-four".