2733227242240 has 144 divisors (see below), whose sum is σ = 7143833765376. Its totient is φ = 993660825600.

The previous prime is 2733227242223. The next prime is 2733227242243. The reversal of 2733227242240 is 422427223372.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2733227242193 and 2733227242202.

It is not an unprimeable number, because it can be changed into a prime (2733227242243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64620139 + ... + 64662421.

It is an arithmetic number, because the mean of its divisors is an integer number (49609956704).

Almost surely, 2^{2733227242240} is an apocalyptic number.

2733227242240 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 2733227242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571916882688).

2733227242240 is an abundant number, since it is smaller than the sum of its proper divisors (4410606523136).

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

2733227242240 is a wasteful number, since it uses less digits than its factorization.

2733227242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46906 (or 46892 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

The spelling of 2733227242240 in words is "two trillion, seven hundred thirty-three billion, two hundred twenty-seven million, two hundred forty-two thousand, two hundred forty".