2733952320 has 336 divisors, whose sum is σ = 10332354240. Its totient is φ = 658022400.

The previous prime is 2733952303. The next prime is 2733952327. The reversal of 2733952320 is 232593372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733952327) 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, 6684276 + ... + 6684684.

Almost surely, 2^2733952320 is an apocalyptic number.

2733952320 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 2733952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166177120).

2733952320 is an abundant number, since it is smaller than the sum of its proper divisors (7598401920).

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

2733952320 is a wasteful number, since it uses less digits than its factorization.

2733952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 2733952320 is about 52287.2099083514. The cubic root of 2733952320 is about 1398.2891209452.

It can be divided in two parts, 273 and 3952320, that added together give a palindrome (3952593).

The spelling of 2733952320 in words is "two billion, seven hundred thirty-three million, nine hundred fifty-two thousand, three hundred twenty".