2464416261 has 48 divisors (see below), whose sum is σ = 3804877440. Its totient is φ = 1532649600.

The previous prime is 2464416239. The next prime is 2464416281. The reversal of 2464416261 is 1626144642.

2464416261 is a `hidden beast` number, since 2 + 4 + 644 + 1 + 6 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 2464416261 - 2⁷ = 2464416133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464416221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5060160 + ... + 5060646.

It is an arithmetic number, because the mean of its divisors is an integer number (79268280).

Almost surely, 2^2464416261 is an apocalyptic number.

It is an amenable number.

2464416261 is a deficient number, since it is larger than the sum of its proper divisors (1340461179).

2464416261 is a wasteful number, since it uses less digits than its factorization.

2464416261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 903 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2464416261 is about 49642.8873153043. The cubic root of 2464416261 is about 1350.7387380657.

The spelling of 2464416261 in words is "two billion, four hundred sixty-four million, four hundred sixteen thousand, two hundred sixty-one".