2225431402560 has 336 divisors, whose sum is σ = 8194134154752. Its totient is φ = 574304256000.

The previous prime is 2225431402559. The next prime is 2225431402613. The reversal of 2225431402560 is 652041345222.

2225431402560 is a `hidden beast` number, since 2 + 2 + 2 + 54 + 3 + 1 + 40 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948960 + ... + 2872160.

It is an arithmetic number, because the mean of its divisors is an integer number (24387304032).

Almost surely, 2^{2225431402560} is an apocalyptic number.

2225431402560 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 2225431402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097067077376).

2225431402560 is an abundant number, since it is smaller than the sum of its proper divisors (5968702752192).

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

2225431402560 is an equidigital number, since it uses as much as digits as its factorization.

2225431402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923264 (or 923242 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2225431402560 its reverse (652041345222), we get a palindrome (2877472747782).

The spelling of 2225431402560 in words is "two trillion, two hundred twenty-five billion, four hundred thirty-one million, four hundred two thousand, five hundred sixty".