2540296560 has 40 divisors (see below), whose sum is σ = 7874920080. Its totient is φ = 677412352.

The previous prime is 2540296547. The next prime is 2540296567. The reversal of 2540296560 is 656920452.

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

It is a super-2 number, since 2×2540296560² = 12906213225495667200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540296567) by changing a digit.

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, 5292045 + ... + 5292524.

It is an arithmetic number, because the mean of its divisors is an integer number (196873002).

Almost surely, 2^2540296560 is an apocalyptic number.

2540296560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540296560 is an abundant number, since it is smaller than the sum of its proper divisors (5334623520).

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

2540296560 is a wasteful number, since it uses less digits than its factorization.

2540296560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584585 (or 10584579 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 2540296560 is about 50401.3547436971. The cubic root of 2540296560 is about 1364.4620886318.

The spelling of 2540296560 in words is "two billion, five hundred forty million, two hundred ninety-six thousand, five hundred sixty".