2733934560 has 384 divisors, whose sum is σ = 10879432704. Its totient is φ = 562298880.

The previous prime is 2733934549. The next prime is 2733934579. The reversal of 2733934560 is 654393372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1312720 + ... + 1314800.

It is an arithmetic number, because the mean of its divisors is an integer number (28331856).

Almost surely, 2^2733934560 is an apocalyptic number.

2733934560 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 2733934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439716352).

2733934560 is an abundant number, since it is smaller than the sum of its proper divisors (8145498144).

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

2733934560 is a wasteful number, since it uses less digits than its factorization.

2733934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The square root of 2733934560 is about 52287.0400768680. The cubic root of 2733934560 is about 1398.2860931347.

The spelling of 2733934560 in words is "two billion, seven hundred thirty-three million, nine hundred thirty-four thousand, five hundred sixty".