2414869248 has 144 divisors (see below), whose sum is σ = 7238310912. Its totient is φ = 708096000.

The previous prime is 2414869241. The next prime is 2414869319. The reversal of 2414869248 is 8429684142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2414869197 and 2414869206.

It is not an unprimeable number, because it can be changed into a prime (2414869241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257278 + ... + 266498.

It is an arithmetic number, because the mean of its divisors is an integer number (50266048).

Almost surely, 2^2414869248 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 2414869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619155456).

2414869248 is an abundant number, since it is smaller than the sum of its proper divisors (4823441664).

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

2414869248 is a wasteful number, since it uses less digits than its factorization.

2414869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9268 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 2414869248 is about 49141.3191520130. The cubic root of 2414869248 is about 1341.6251997077.

The spelling of 2414869248 in words is "two billion, four hundred fourteen million, eight hundred sixty-nine thousand, two hundred forty-eight".