2740188924704 has 384 divisors, whose sum is σ = 6888217190400. Its totient is φ = 1042276147200.

The previous prime is 2740188924703. The next prime is 2740188924757. The reversal of 2740188924704 is 4074298810472.

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 2740188924704.

It is not an unprimeable number, because it can be changed into a prime (2740188924701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8810896709 + ... + 8810897019.

It is an arithmetic number, because the mean of its divisors is an integer number (17938065600).

Almost surely, 2^{2740188924704} 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 2740188924704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444108595200).

2740188924704 is an abundant number, since it is smaller than the sum of its proper divisors (4148028265696).

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

2740188924704 is a wasteful number, since it uses less digits than its factorization.

2740188924704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 2740188924704 in words is "two trillion, seven hundred forty billion, one hundred eighty-eight million, nine hundred twenty-four thousand, seven hundred four".