2465830400 has 240 divisors, whose sum is σ = 6776941248. Its totient is φ = 881664000.

The previous prime is 2465830387. The next prime is 2465830417. The reversal of 2465830400 is 40385642.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11686295 + ... + 11686505.

Almost surely, 2^2465830400 is an apocalyptic number.

2465830400 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 2465830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388470624).

2465830400 is an abundant number, since it is smaller than the sum of its proper divisors (4311110848).

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

2465830400 is a wasteful number, since it uses less digits than its factorization.

2465830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2465830400 is about 49657.1283905946. The cubic root of 2465830400 is about 1350.9970503641.

The spelling of 2465830400 in words is "two billion, four hundred sixty-five million, eight hundred thirty thousand, four hundred".