2425550400 has 672 divisors, whose sum is σ = 10900135680. Its totient is φ = 510935040.

The previous prime is 2425550383. The next prime is 2425550437. The reversal of 2425550400 is 40555242.

2425550400 is a `hidden beast` number, since 2 + 4 + 255 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3930892 + ... + 3931508.

It is an arithmetic number, because the mean of its divisors is an integer number (16220440).

Almost surely, 2^2425550400 is an apocalyptic number.

2425550400 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 2425550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450067840).

2425550400 is an abundant number, since it is smaller than the sum of its proper divisors (8474585280).

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

2425550400 is a wasteful number, since it uses less digits than its factorization.

2425550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2425550400 is about 49249.8771572072. The cubic root of 2425550400 is about 1343.6003275876.

The spelling of 2425550400 in words is "two billion, four hundred twenty-five million, five hundred fifty thousand, four hundred".