2740560480 has 480 divisors, whose sum is σ = 11710391616. Its totient is φ = 589234176.

The previous prime is 2740560461. The next prime is 2740560527. The reversal of 2740560480 is 840650472.

2740560480 is a `hidden beast` number, since 2 + 7 + 40 + 5 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1541352 + ... + 1543128.

Almost surely, 2^2740560480 is an apocalyptic number.

2740560480 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 2740560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855195808).

2740560480 is an abundant number, since it is smaller than the sum of its proper divisors (8969831136).

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

2740560480 is a wasteful number, since it uses less digits than its factorization.

2740560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2740560480 is about 52350.3627494595. The cubic root of 2740560480 is about 1399.4148030421.

The spelling of 2740560480 in words is "two billion, seven hundred forty million, five hundred sixty thousand, four hundred eighty".