2734820940816 has 240 divisors, whose sum is σ = 8304888953088. Its totient is φ = 836722483200.

The previous prime is 2734820940751. The next prime is 2734820940821. The reversal of 2734820940816 is 6180490284372.

2734820940816 is a `hidden beast` number, since 2 + 73 + 482 + 0 + 94 + 0 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×2734820940816² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392535765 + ... + 392542731.

Almost surely, 2^{2734820940816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734820940816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152444476544).

2734820940816 is an abundant number, since it is smaller than the sum of its proper divisors (5570068012272).

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

2734820940816 is a wasteful number, since it uses less digits than its factorization.

2734820940816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2734820940816 in words is "two trillion, seven hundred thirty-four billion, eight hundred twenty million, nine hundred forty thousand, eight hundred sixteen".