2748364577280 has 1600 divisors, whose sum is σ = 11764336320000. Its totient is φ = 599967793152.

The previous prime is 2748364577249. The next prime is 2748364577281. The reversal of 2748364577280 is 827754638472.

2748364577280 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 36 + 4 + 577 + 28 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2748364577281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4588254421 + ... + 4588255019.

It is an arithmetic number, because the mean of its divisors is an integer number (7352710200).

Almost surely, 2^{2748364577280} is an apocalyptic number.

2748364577280 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 2748364577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882168160000).

2748364577280 is an abundant number, since it is smaller than the sum of its proper divisors (9015971742720).

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

2748364577280 is a wasteful number, since it uses less digits than its factorization.

2748364577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 2748364577280 in words is "two trillion, seven hundred forty-eight billion, three hundred sixty-four million, five hundred seventy-seven thousand, two hundred eighty".