2489414400 has 324 divisors, whose sum is σ = 9711800280. Its totient is φ = 603340800.

The previous prime is 2489414393. The next prime is 2489414423. The reversal of 2489414400 is 44149842.

2489414400 is a `hidden beast` number, since 248 + 9 + 4 + 1 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631636 + ... + 635564.

Almost surely, 2^2489414400 is an apocalyptic number.

2489414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855900140).

2489414400 is an abundant number, since it is smaller than the sum of its proper divisors (7222385880).

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

2489414400 is a wasteful number, since it uses less digits than its factorization.

2489414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2489414400 is about 49894.0317072092. The cubic root of 2489414400 is about 1355.2905156324.

The spelling of 2489414400 in words is "two billion, four hundred eighty-nine million, four hundred fourteen thousand, four hundred".