2742707955456 has 864 divisors, whose sum is σ = 9788908953600. Its totient is φ = 754488483840.

The previous prime is 2742707955413. The next prime is 2742707955461. The reversal of 2742707955456 is 6545597072472.

It is a happy number.

2742707955456 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 7 + 0 + 79 + 554 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2742707955393 and 2742707955402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2509338846 + ... + 2509339938.

Almost surely, 2^{2742707955456} 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 2742707955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894454476800).

2742707955456 is an abundant number, since it is smaller than the sum of its proper divisors (7046200998144).

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

2742707955456 is a wasteful number, since it uses less digits than its factorization.

2742707955456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 2742707955456 in words is "two trillion, seven hundred forty-two billion, seven hundred seven million, nine hundred fifty-five thousand, four hundred fifty-six".