2742655122396 has 192 divisors, whose sum is σ = 8148354600960. Its totient is φ = 781499897280.

The previous prime is 2742655122391. The next prime is 2742655122433. The reversal of 2742655122396 is 6932215562472.

2742655122396 is a `hidden beast` number, since 2 + 7 + 42 + 65 + 512 + 23 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742655122391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785634211 + ... + 785637701.

It is an arithmetic number, because the mean of its divisors is an integer number (42439346880).

Almost surely, 2^{2742655122396} 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 2742655122396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074177300480).

2742655122396 is an abundant number, since it is smaller than the sum of its proper divisors (5405699478564).

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

2742655122396 is a wasteful number, since it uses less digits than its factorization.

2742655122396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6013 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 2742655122396 in words is "two trillion, seven hundred forty-two billion, six hundred fifty-five million, one hundred twenty-two thousand, three hundred ninety-six".