2740348279424 has 128 divisors (see below), whose sum is σ = 6456533414400. Its totient is φ = 1133550157824.

The previous prime is 2740348279411. The next prime is 2740348279429. The reversal of 2740348279424 is 4249728430472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2740348279424.

It is not an unprimeable number, because it can be changed into a prime (2740348279429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83574137 + ... + 83606919.

It is an arithmetic number, because the mean of its divisors is an integer number (50441667300).

Almost surely, 2^{2740348279424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740348279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228266707200).

2740348279424 is an abundant number, since it is smaller than the sum of its proper divisors (3716185134976).

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

2740348279424 is a wasteful number, since it uses less digits than its factorization.

2740348279424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36050 (or 36038 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 56.

The spelling of 2740348279424 in words is "two trillion, seven hundred forty billion, three hundred forty-eight million, two hundred seventy-nine thousand, four hundred twenty-four".