2419152561 has 80 divisors (see below), whose sum is σ = 4454271360. Its totient is φ = 1277441280.

The previous prime is 2419152553. The next prime is 2419152569. The reversal of 2419152561 is 1652519142.

2419152561 is a `hidden beast` number, since 2 + 4 + 1 + 91 + 5 + 2 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (2419152553) and next prime (2419152569).

It is not a de Polignac number, because 2419152561 - 2³ = 2419152553 is a prime.

It is a super-2 number, since 2×2419152561² = 11704598226785717442, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2419152569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 438955 + ... + 444431.

It is an arithmetic number, because the mean of its divisors is an integer number (55678392).

Almost surely, 2^2419152561 is an apocalyptic number.

2419152561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2419152561 is a deficient number, since it is larger than the sum of its proper divisors (2035118799).

2419152561 is a wasteful number, since it uses less digits than its factorization.

2419152561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5547 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2419152561 is about 49184.8814271215. The cubic root of 2419152561 is about 1342.4179557239.

The spelling of 2419152561 in words is "two billion, four hundred nineteen million, one hundred fifty-two thousand, five hundred sixty-one".