2724346606410 has 576 divisors, whose sum is σ = 8900918391456. Its totient is φ = 572295905280.

The previous prime is 2724346606391. The next prime is 2724346606523. The reversal of 2724346606410 is 146066434272.

2724346606410 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 34 + 6 + 606 + 4 + 1 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 580145758929 + 2144200847481 = 761673^2 + 1464309^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1099856092 + ... + 1099858568.

Almost surely, 2^{2724346606410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724346606410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450459195728).

2724346606410 is an abundant number, since it is smaller than the sum of its proper divisors (6176571785046).

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

2724346606410 is a wasteful number, since it uses less digits than its factorization.

2724346606410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 27243 and 46606410, that added together give a triangular number (46633653 = T₉₆₅₇).

The spelling of 2724346606410 in words is "two trillion, seven hundred twenty-four billion, three hundred forty-six million, six hundred six thousand, four hundred ten".