2742135492096 has 1920 divisors, whose sum is σ = 11128119754752. Its totient is φ = 627056640000.

The previous prime is 2742135492037. The next prime is 2742135492113. The reversal of 2742135492096 is 6902945312472.

It is a happy number.

2742135492096 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 1 + 3 + 549 + 2 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18159837621 + ... + 18159837771.

Almost surely, 2^{2742135492096} is an apocalyptic number.

2742135492096 is a gapful number since it is divisible by the number (26) 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 2742135492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564059877376).

2742135492096 is an abundant number, since it is smaller than the sum of its proper divisors (8385984262656).

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

2742135492096 is a wasteful number, since it uses less digits than its factorization.

2742135492096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2742135492096 in words is "two trillion, seven hundred forty-two billion, one hundred thirty-five million, four hundred ninety-two thousand, ninety-six".