2741406720 has 176 divisors, whose sum is σ = 9443384160. Its totient is φ = 674758656.

The previous prime is 2741406713. The next prime is 2741406727. The reversal of 2741406720 is 276041472.

It is an interprime number because it is at equal distance from previous prime (2741406713) and next prime (2741406727).

It is a super-3 number, since 3×2741406720³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2741406727) 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 15 ways as a sum of consecutive naturals, for example, 192816 + ... + 206544.

Almost surely, 2^2741406720 is an apocalyptic number.

2741406720 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 2741406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721692080).

2741406720 is an abundant number, since it is smaller than the sum of its proper divisors (6701977440).

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

2741406720 is a wasteful number, since it uses less digits than its factorization.

2741406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13770 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2741406720 is about 52358.4445911068. Note that the first 3 decimals coincide. The cubic root of 2741406720 is about 1399.5588269770.

The spelling of 2741406720 in words is "two billion, seven hundred forty-one million, four hundred six thousand, seven hundred twenty".