2742013864380 has 288 divisors, whose sum is σ = 9306579240000. Its totient is φ = 600714498048.

The previous prime is 2742013864379. The next prime is 2742013864453. The reversal of 2742013864380 is 834683102472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11563246 + ... + 11797994.

It is an arithmetic number, because the mean of its divisors is an integer number (32314511250).

Almost surely, 2^{2742013864380} is an apocalyptic number.

2742013864380 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 2742013864380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653289620000).

2742013864380 is an abundant number, since it is smaller than the sum of its proper divisors (6564565375620).

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

2742013864380 is a wasteful number, since it uses less digits than its factorization.

2742013864380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234941 (or 234932 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 2742013864380 in words is "two trillion, seven hundred forty-two billion, thirteen million, eight hundred sixty-four thousand, three hundred eighty".