2734826953680 has 240 divisors, whose sum is σ = 9850268113920. Its totient is φ = 677867553792.

The previous prime is 2734826953673. The next prime is 2734826953681. The reversal of 2734826953680 is 863596284372.

It is a happy number.

2734826953680 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 8 + 269 + 5 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734826953681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160944 + ... + 2611023.

It is an arithmetic number, because the mean of its divisors is an integer number (41042783808).

Almost surely, 2^{2734826953680} is an apocalyptic number.

2734826953680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2734826953680 is an abundant number, since it is smaller than the sum of its proper divisors (7115441160240).

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

2734826953680 is a wasteful number, since it uses less digits than its factorization.

2734826953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772058 (or 3772049 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 2734826953680 in words is "two trillion, seven hundred thirty-four billion, eight hundred twenty-six million, nine hundred fifty-three thousand, six hundred eighty".