2742521852280 has 384 divisors, whose sum is σ = 10369519015680. Its totient is φ = 576266342400.

The previous prime is 2742521852261. The next prime is 2742521852303. The reversal of 2742521852280 is 822581252472.

2742521852280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2742521852280² (a number of 26 digits) contains 22 as substring.

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, 3979255 + ... + 4617305.

It is an arithmetic number, because the mean of its divisors is an integer number (27003955770).

Almost surely, 2^{2742521852280} is an apocalyptic number.

2742521852280 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 2742521852280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184759507840).

2742521852280 is an abundant number, since it is smaller than the sum of its proper divisors (7626997163400).

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

2742521852280 is a wasteful number, since it uses less digits than its factorization.

2742521852280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638139 (or 638128 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 48.

The spelling of 2742521852280 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-one million, eight hundred fifty-two thousand, two hundred eighty".