2542340560 has 40 divisors (see below), whose sum is σ = 5913199656. Its totient is φ = 1016547840.

The previous prime is 2542340551. The next prime is 2542340561. The reversal of 2542340560 is 650432452.

It can be written as a sum of positive squares in 4 ways, for example, as 1507302976 + 1035037584 = 38824^2 + 32172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2542340560² = 12926991046042227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542340561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 301522 + ... + 309838.

Almost surely, 2^2542340560 is an apocalyptic number.

2542340560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542340560 is an abundant number, since it is smaller than the sum of its proper divisors (3370859096).

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

2542340560 is a wasteful number, since it uses less digits than its factorization.

2542340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12151 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2542340560 is about 50421.6278991466. The cubic root of 2542340560 is about 1364.8279531086.

The spelling of 2542340560 in words is "two billion, five hundred forty-two million, three hundred forty thousand, five hundred sixty".