2735342782464 has 192 divisors, whose sum is σ = 7511586001920. Its totient is φ = 884665958400.

The previous prime is 2735342782411. The next prime is 2735342782511. The reversal of 2735342782464 is 4642872435372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2735342782464² (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 15 ways as a sum of consecutive naturals, for example, 39858709 + ... + 39927275.

It is an arithmetic number, because the mean of its divisors is an integer number (39122843760).

Almost surely, 2^{2735342782464} is an apocalyptic number.

2735342782464 is a gapful number since it is divisible by the number (24) 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 2735342782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755793000960).

2735342782464 is an abundant number, since it is smaller than the sum of its proper divisors (4776243219456).

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

2735342782464 is a wasteful number, since it uses less digits than its factorization.

2735342782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68786 (or 68766 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 57.

The spelling of 2735342782464 in words is "two trillion, seven hundred thirty-five billion, three hundred forty-two million, seven hundred eighty-two thousand, four hundred sixty-four".