2742857249280 has 160 divisors (see below), whose sum is σ = 8917193102400. Its totient is φ = 719031386112.

The previous prime is 2742857249269. The next prime is 2742857249287. The reversal of 2742857249280 is 829427582472.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2742857249287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573515 + ... + 3479754.

It is an arithmetic number, because the mean of its divisors is an integer number (55732456890).

Almost surely, 2^{2742857249280} is an apocalyptic number.

2742857249280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742857249280 is an abundant number, since it is smaller than the sum of its proper divisors (6174335853120).

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

2742857249280 is an equidigital number, since it uses as much as digits as its factorization.

2742857249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053354 (or 6053338 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 2742857249280 in words is "two trillion, seven hundred forty-two billion, eight hundred fifty-seven million, two hundred forty-nine thousand, two hundred eighty".