2456540729 has 8 divisors (see below), whose sum is σ = 2579180160. Its totient is φ = 2336430096.

The previous prime is 2456540693. The next prime is 2456540747. The reversal of 2456540729 is 9270456542.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2456540729 - 2¹⁶ = 2456475193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2456540729.

It is not an unprimeable number, because it can be changed into a prime (2456540759) 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, 630209 + ... + 634094.

It is an arithmetic number, because the mean of its divisors is an integer number (322397520).

Almost surely, 2^2456540729 is an apocalyptic number.

2456540729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2456540729 is a deficient number, since it is larger than the sum of its proper divisors (122639431).

2456540729 is a wasteful number, since it uses less digits than its factorization.

2456540729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264399.

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 2456540729 is about 49563.5019848275. The cubic root of 2456540729 is about 1349.2983512549.

The spelling of 2456540729 in words is "two billion, four hundred fifty-six million, five hundred forty thousand, seven hundred twenty-nine".