2742484140 has 72 divisors (see below), whose sum is σ = 9075135888. Its totient is φ = 664844160.

The previous prime is 2742484117. The next prime is 2742484153. The reversal of 2742484140 is 414842472.

2742484140 is a `hidden beast` number, since 274 + 248 + 4 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2742484095 and 2742484104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690567 + ... + 694526.

It is an arithmetic number, because the mean of its divisors is an integer number (126043554).

Almost surely, 2^2742484140 is an apocalyptic number.

2742484140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742484140 is an abundant number, since it is smaller than the sum of its proper divisors (6332651748).

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

2742484140 is a wasteful number, since it uses less digits than its factorization.

2742484140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385119 (or 1385114 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 2742484140 is about 52368.7324650884. The cubic root of 2742484140 is about 1399.7421531939.

The spelling of 2742484140 in words is "two billion, seven hundred forty-two million, four hundred eighty-four thousand, one hundred forty".