2400461271 has 16 divisors (see below), whose sum is σ = 3829796320. Its totient is φ = 1477206720.

The previous prime is 2400461249. The next prime is 2400461279. The reversal of 2400461271 is 1721640042.

2400461271 is a `hidden beast` number, since 2 + 40 + 0 + 4 + 612 + 7 + 1 = 666.

It is not a de Polignac number, because 2400461271 - 2⁶ = 2400461207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400461279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3419110 + ... + 3419811.

It is an arithmetic number, because the mean of its divisors is an integer number (239362270).

Almost surely, 2^2400461271 is an apocalyptic number.

2400461271 is a deficient number, since it is larger than the sum of its proper divisors (1429335049).

2400461271 is a wasteful number, since it uses less digits than its factorization.

2400461271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838943 (or 6838937 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2400461271 is about 48994.5024569084. The cubic root of 2400461271 is about 1338.9516696715.

The spelling of 2400461271 in words is "two billion, four hundred million, four hundred sixty-one thousand, two hundred seventy-one".