2740124160 has 320 divisors, whose sum is σ = 10076140800. Its totient is φ = 704987136.

The previous prime is 2740124137. The next prime is 2740124161. The reversal of 2740124160 is 614210472.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2740124161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003797 + ... + 2005163.

It is an arithmetic number, because the mean of its divisors is an integer number (31487940).

Almost surely, 2^2740124160 is an apocalyptic number.

2740124160 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 2740124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038070400).

2740124160 is an abundant number, since it is smaller than the sum of its proper divisors (7336016640).

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

2740124160 is a wasteful number, since it uses less digits than its factorization.

2740124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2740124160 is about 52346.1952772119. The cubic root of 2740124160 is about 1399.3405329456.

The spelling of 2740124160 in words is "two billion, seven hundred forty million, one hundred twenty-four thousand, one hundred sixty".