2742524570240 has 512 divisors, whose sum is σ = 8606809612800. Its totient is φ = 810904190976.

The previous prime is 2742524570221. The next prime is 2742524570311. The reversal of 2742524570240 is 420754252472.

2742524570240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2742524570191 and 2742524570200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135630851 + ... + 135651069.

It is an arithmetic number, because the mean of its divisors is an integer number (16810175025).

Almost surely, 2^{2742524570240} is an apocalyptic number.

2742524570240 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 2742524570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303404806400).

2742524570240 is an abundant number, since it is smaller than the sum of its proper divisors (5864285042560).

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

2742524570240 is a wasteful number, since it uses less digits than its factorization.

2742524570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20412 (or 20400 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 44.

The spelling of 2742524570240 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-four million, five hundred seventy thousand, two hundred forty".