2542744040 has 32 divisors (see below), whose sum is σ = 5723325000. Its totient is φ = 1016715264.

The previous prime is 2542744037. The next prime is 2542744117. The reversal of 2542744040 is 404472452.

It can be written as a sum of positive squares in 4 ways, for example, as 2090501284 + 452242756 = 45722^2 + 21266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2542743988 and 2542744006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 111536 + ... + 132384.

Almost surely, 2^2542744040 is an apocalyptic number.

2542744040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542744040 is an abundant number, since it is smaller than the sum of its proper divisors (3180580960).

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

2542744040 is a wasteful number, since it uses less digits than its factorization.

2542744040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23909 (or 23905 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 32.

The square root of 2542744040 is about 50425.6288012356. The cubic root of 2542744040 is about 1364.9001505766.

The spelling of 2542744040 in words is "two billion, five hundred forty-two million, seven hundred forty-four thousand, forty".