2734990068600 has 576 divisors, whose sum is σ = 9600003372960. Its totient is φ = 697174732800.

The previous prime is 2734990068541. The next prime is 2734990068607. The reversal of 2734990068600 is 68600994372.

It is a happy number.

2734990068600 is a `hidden beast` number, since 2 + 73 + 499 + 0 + 0 + 6 + 86 + 0 + 0 = 666.

2734990068600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734990068607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2678736090 + ... + 2678737110.

Almost surely, 2^{2734990068600} is an apocalyptic number.

2734990068600 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 2734990068600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800001686480).

2734990068600 is an abundant number, since it is smaller than the sum of its proper divisors (6865013304360).

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

2734990068600 is a wasteful number, since it uses less digits than its factorization.

2734990068600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2734990068600 in words is "two trillion, seven hundred thirty-four billion, nine hundred ninety million, sixty-eight thousand, six hundred".