2742331284000 has 1152 divisors, whose sum is σ = 12173304858624. Its totient is φ = 567993600000.

The previous prime is 2742331283953. The next prime is 2742331284023. The reversal of 2742331284000 is 4821332472.

It is a happy number.

2742331284000 is a `hidden beast` number, since 2 + 7 + 4 + 233 + 12 + 8 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 961882575 + ... + 961885425.

It is an arithmetic number, because the mean of its divisors is an integer number (10567104912).

Almost surely, 2^{2742331284000} is an apocalyptic number.

2742331284000 is a gapful number since it is divisible by the number (20) 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 2742331284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086652429312).

2742331284000 is an abundant number, since it is smaller than the sum of its proper divisors (9430973574624).

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

2742331284000 is a wasteful number, since it uses less digits than its factorization.

2742331284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2742331284000 in words is "two trillion, seven hundred forty-two billion, three hundred thirty-one million, two hundred eighty-four thousand".