2764728046080 has 2560 divisors, whose sum is σ = 13621528166400. Its totient is φ = 512792985600.

The previous prime is 2764728046079. The next prime is 2764728046099. The reversal of 2764728046080 is 806408274672.

It is a happy number.

2764728046080 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 7 + 28 + 0 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2144862076 + ... + 2144863364.

It is an arithmetic number, because the mean of its divisors is an integer number (5320909440).

Almost surely, 2^{2764728046080} is an apocalyptic number.

2764728046080 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 2764728046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810764083200).

2764728046080 is an abundant number, since it is smaller than the sum of its proper divisors (10856800120320).

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

2764728046080 is a wasteful number, since it uses less digits than its factorization.

2764728046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2764728046080 in words is "two trillion, seven hundred sixty-four billion, seven hundred twenty-eight million, forty-six thousand, eighty".