2733713920 has 480 divisors, whose sum is σ = 8508741120. Its totient is φ = 836075520.

The previous prime is 2733713903. The next prime is 2733713929. The reversal of 2733713920 is 293173372.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2733713920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733713929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73884142 + ... + 73884178.

It is an arithmetic number, because the mean of its divisors is an integer number (17726544).

Almost surely, 2^2733713920 is an apocalyptic number.

2733713920 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 2733713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254370560).

2733713920 is an abundant number, since it is smaller than the sum of its proper divisors (5775027200).

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

2733713920 is a wasteful number, since it uses less digits than its factorization.

2733713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 2733713920 is about 52284.9301424416. The cubic root of 2733713920 is about 1398.2484762695.

The spelling of 2733713920 in words is "two billion, seven hundred thirty-three million, seven hundred thirteen thousand, nine hundred twenty".