2225025030400 has 108 divisors (see below), whose sum is σ = 5510534217300. Its totient is φ = 889484861440.

The previous prime is 2225025030329. The next prime is 2225025030439. The reversal of 2225025030400 is 40305205222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 817707849984 + 1407317180416 = 904272^2 + 1186304^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10835886 + ... + 11039314.

It is an arithmetic number, because the mean of its divisors is an integer number (51023464975).

Almost surely, 2^{2225025030400} is an apocalyptic number.

2225025030400 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 2225025030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755267108650).

2225025030400 is an abundant number, since it is smaller than the sum of its proper divisors (3285509186900).

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

2225025030400 is a wasteful number, since it uses less digits than its factorization.

2225025030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205164 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 2225025030400 in words is "two trillion, two hundred twenty-five billion, twenty-five million, thirty thousand, four hundred".