2742884572032 has 192 divisors, whose sum is σ = 9116975003760. Its totient is φ = 782284308480.

The previous prime is 2742884572031. The next prime is 2742884572079. The reversal of 2742884572032 is 2302754882472.

2742884572032 is a `hidden beast` number, since 2 + 7 + 428 + 8 + 4 + 5 + 7 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2742884572032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742884572031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6150823 + ... + 6581670.

Almost surely, 2^{2742884572032} is an apocalyptic number.

2742884572032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2742884572032 is an abundant number, since it is smaller than the sum of its proper divisors (6374090431728).

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

2742884572032 is a wasteful number, since it uses less digits than its factorization.

2742884572032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732541 (or 12732526 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 2742884572032 in words is "two trillion, seven hundred forty-two billion, eight hundred eighty-four million, five hundred seventy-two thousand, thirty-two".