2742000332032 has 144 divisors (see below), whose sum is σ = 6027992965008. Its totient is φ = 1237144043520.

The previous prime is 2742000331969. The next prime is 2742000332083. The reversal of 2742000332032 is 2302330002472.

It can be written as a sum of positive squares in 8 ways, for example, as 33421689856 + 2708578642176 = 182816^2 + 1645776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27402732 + ... + 27502612.

It is an arithmetic number, because the mean of its divisors is an integer number (41861062257).

Almost surely, 2^{2742000332032} 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 2742000332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013996482504).

2742000332032 is an abundant number, since it is smaller than the sum of its proper divisors (3285992632976).

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

2742000332032 is a wasteful number, since it uses less digits than its factorization.

2742000332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100096 (or 100082 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The spelling of 2742000332032 in words is "two trillion, seven hundred forty-two billion, three hundred thirty-two thousand, thirty-two".