2734796572800 has 96 divisors (see below), whose sum is σ = 9007736243280. Its totient is φ = 729279083520.

The previous prime is 2734796572799. The next prime is 2734796572831. The reversal of 2734796572800 is 82756974372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2734796572800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 11 ways as a sum of consecutive naturals, for example, 142427722 + ... + 142446921.

Almost surely, 2^{2734796572800} is an apocalyptic number.

2734796572800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2734796572800 is an abundant number, since it is smaller than the sum of its proper divisors (6272939670480).

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

2734796572800 is a wasteful number, since it uses less digits than its factorization.

2734796572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284874670 (or 284874653 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 2734796572800 in words is "two trillion, seven hundred thirty-four billion, seven hundred ninety-six million, five hundred seventy-two thousand, eight hundred".