2733708656640 has 480 divisors, whose sum is σ = 9457562802240. Its totient is φ = 670266556416.

The previous prime is 2733708656629. The next prime is 2733708656641. The reversal of 2733708656640 is 466568073372.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733708656641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884980216 + ... + 884983304.

It is an arithmetic number, because the mean of its divisors is an integer number (19703255838).

Almost surely, 2^{2733708656640} is an apocalyptic number.

2733708656640 is a gapful number since it is divisible by the number (20) 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 2733708656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728781401120).

2733708656640 is an abundant number, since it is smaller than the sum of its proper divisors (6723854145600).

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

2733708656640 is a wasteful number, since it uses less digits than its factorization.

2733708656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 2733708656640 in words is "two trillion, seven hundred thirty-three billion, seven hundred eight million, six hundred fifty-six thousand, six hundred forty".