2742518240 has 360 divisors, whose sum is σ = 8449048440. Its totient is φ = 840322560.

The previous prime is 2742518221. The next prime is 2742518243. The reversal of 2742518240 is 428152472.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2742518240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742518243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46483331 + ... + 46483389.

It is an arithmetic number, because the mean of its divisors is an integer number (23469579).

Almost surely, 2^2742518240 is an apocalyptic number.

2742518240 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 2742518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224524220).

2742518240 is an abundant number, since it is smaller than the sum of its proper divisors (5706530200).

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

2742518240 is an equidigital number, since it uses as much as digits as its factorization.

2742518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 2742518240 is about 52369.0580400297. The cubic root of 2742518240 is about 1399.7479546264.

The spelling of 2742518240 in words is "two billion, seven hundred forty-two million, five hundred eighteen thousand, two hundred forty".