2742480 has 120 divisors (see below), whose sum is σ = 9952488. Its totient is φ = 672768.

The previous prime is 2742473. The next prime is 2742503. The reversal of 2742480 is 842472.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 2322576 = 648^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9214 + ... + 9506.

2^2742480 is an apocalyptic number.

2742480 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 2742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244).

2742480 is an abundant number, since it is smaller than the sum of its proper divisors (7210008).

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

2742480 is a wasteful number, since it uses less digits than its factorization.

2742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2742480 is about 1656.0434776901. The cubic root of 2742480 is about 139.9741448853.

The spelling of 2742480 in words is "two million, seven hundred forty-two thousand, four hundred eighty".