2540462409 has 27 divisors (see below), whose sum is σ = 3751935733. Its totient is φ = 1656444192.

The previous prime is 2540462399. The next prime is 2540462411. The reversal of 2540462409 is 9042640452.

2540462409 = 1³ + 2³ + ... + 317³.

The square root of 2540462409 is 50403.

It is a perfect power (a square), and thus also a powerful number.

2540462409 is a `hidden beast` number, since 2 + 5 + 404 + 6 + 240 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 247968009 + 2292494400 = 15747^2 + 47880^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2540462409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2540462479) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8013919 + ... + 8014235.

Almost surely, 2^2540462409 is an apocalyptic number.

2540462409 is the 50403-rd square number.

2540462409 is the 25202-nd centered octagonal number.

It is an amenable number.

2540462409 is a deficient number, since it is larger than the sum of its proper divisors (1211473324).

2540462409 is an frugal number, since it uses more digits than its factorization.

2540462409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 2540462409 is about 1364.4917819823.

Multiplying 2540462409 by its sum of digits (36), we get a square (91456646724 = 302418²).

The spelling of 2540462409 in words is "two billion, five hundred forty million, four hundred sixty-two thousand, four hundred nine".