2734476968520 has 768 divisors, whose sum is σ = 10433996052480. Its totient is φ = 638291404800.

The previous prime is 2734476968497. The next prime is 2734476968537. The reversal of 2734476968520 is 258696744372.

2734476968520 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 47 + 6 + 9 + 68 + 520 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326422572 + ... + 326430948.

It is an arithmetic number, because the mean of its divisors is an integer number (13585932360).

Almost surely, 2^{2734476968520} is an apocalyptic number.

2734476968520 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 2734476968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216998026240).

2734476968520 is an abundant number, since it is smaller than the sum of its proper divisors (7699519083960).

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

2734476968520 is a wasteful number, since it uses less digits than its factorization.

2734476968520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8528 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 2734476968520 in words is "two trillion, seven hundred thirty-four billion, four hundred seventy-six million, nine hundred sixty-eight thousand, five hundred twenty".