2742027042600 has 288 divisors, whose sum is σ = 9385202712600. Its totient is φ = 717320448000.

The previous prime is 2742027042581. The next prime is 2742027042617. The reversal of 2742027042600 is 62407202472.

2742027042600 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 0 + 2 + 7 + 0 + 42 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 612534761316 + 2129492281284 = 782646^2 + 1459278^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19747014 + ... + 19885386.

Almost surely, 2^{2742027042600} is an apocalyptic number.

2742027042600 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 2742027042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692601356300).

2742027042600 is an abundant number, since it is smaller than the sum of its proper divisors (6643175670000).

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

2742027042600 is a wasteful number, since it uses less digits than its factorization.

2742027042600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138605 (or 138593 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 2742027042600 in words is "two trillion, seven hundred forty-two billion, twenty-seven million, forty-two thousand, six hundred".