2225254000410 has 384 divisors, whose sum is σ = 7130172801024. Its totient is φ = 488613358080.

The previous prime is 2225254000399. The next prime is 2225254000439. The reversal of 2225254000410 is 140004525222.

2225254000410 is a `hidden beast` number, since 2 + 2 + 252 + 5 + 400 + 0 + 4 + 1 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 72226069 + ... + 72256871.

It is an arithmetic number, because the mean of its divisors is an integer number (18568158336).

Almost surely, 2^{2225254000410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225254000410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565086400512).

2225254000410 is an abundant number, since it is smaller than the sum of its proper divisors (4904918800614).

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

2225254000410 is a wasteful number, since it uses less digits than its factorization.

2225254000410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31000 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 2225254000410 its reverse (140004525222), we get a palindrome (2365258525632).

The spelling of 2225254000410 in words is "two trillion, two hundred twenty-five billion, two hundred fifty-four million, four hundred ten", and thus it is an aban number.