2742602433552 has 240 divisors, whose sum is σ = 8027318982592. Its totient is φ = 873254753280.

The previous prime is 2742602433539. The next prime is 2742602433559. The reversal of 2742602433552 is 2553342062472.

2742602433552 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 60 + 2 + 4 + 33 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2742602433498 and 2742602433507.

It is not an unprimeable number, because it can be changed into a prime (2742602433559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177771663 + ... + 177787089.

Almost surely, 2^{2742602433552} 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 2742602433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013659491296).

2742602433552 is an abundant number, since it is smaller than the sum of its proper divisors (5284716549040).

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

2742602433552 is a wasteful number, since it uses less digits than its factorization.

2742602433552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16086 (or 16077 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 2742602433552 in words is "two trillion, seven hundred forty-two billion, six hundred two million, four hundred thirty-three thousand, five hundred fifty-two".