2418941952 has 336 divisors, whose sum is σ = 8246546880. Its totient is φ = 668860416.

The previous prime is 2418941923. The next prime is 2418941953. The reversal of 2418941952 is 2591498142.

It is a happy number.

2418941952 is a `hidden beast` number, since 2 + 4 + 189 + 419 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2418941898 and 2418941907.

It is not an unprimeable number, because it can be changed into a prime (2418941953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22192074 + ... + 22192182.

Almost surely, 2^2418941952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2418941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123273440).

2418941952 is an abundant number, since it is smaller than the sum of its proper divisors (5827604928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2418941952 is a wasteful number, since it uses less digits than its factorization.

2418941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2418941952 is about 49182.7403872537. The cubic root of 2418941952 is about 1342.3789980723.

The spelling of 2418941952 in words is "two billion, four hundred eighteen million, nine hundred forty-one thousand, nine hundred fifty-two".