2425382400 has 360 divisors, whose sum is σ = 9327427560. Its totient is φ = 553943040.

The previous prime is 2425382381. The next prime is 2425382413. The reversal of 2425382400 is 42835242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1880956 + ... + 1882244.

It is an arithmetic number, because the mean of its divisors is an integer number (25909521).

Almost surely, 2^2425382400 is an apocalyptic number.

2425382400 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 2425382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663713780).

2425382400 is an abundant number, since it is smaller than the sum of its proper divisors (6902045160).

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

2425382400 is a wasteful number, since it uses less digits than its factorization.

2425382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2425382400 is about 49248.1715396623. The cubic root of 2425382400 is about 1343.5693064406.

The spelling of 2425382400 in words is "two billion, four hundred twenty-five million, three hundred eighty-two thousand, four hundred".