2675813430096 has 360 divisors, whose sum is σ = 8219392496640. Its totient is φ = 810126535680.

The previous prime is 2675813430089. The next prime is 2675813430097. The reversal of 2675813430096 is 6900343185762.

2675813430096 is a `hidden beast` number, since 2 + 67 + 58 + 13 + 430 + 0 + 96 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675813430097) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 357390865 + ... + 357398351.

It is an arithmetic number, because the mean of its divisors is an integer number (22831645824).

It is a 1-persistent number, because it is pandigital, but 2⋅2675813430096 = 5351626860192 is not.

Almost surely, 2^{2675813430096} 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 2675813430096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109696248320).

2675813430096 is an abundant number, since it is smaller than the sum of its proper divisors (5543579066544).

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

2675813430096 is a wasteful number, since it uses less digits than its factorization.

2675813430096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2675813430096 in words is "two trillion, six hundred seventy-five billion, eight hundred thirteen million, four hundred thirty thousand, ninety-six".