2225251210440 has 256 divisors, whose sum is σ = 7388607456000. Its totient is φ = 533884538880.

The previous prime is 2225251210423. The next prime is 2225251210453. The reversal of 2225251210440 is 440121525222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2225251210398 and 2225251210407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3757462 + ... + 4309178.

It is an arithmetic number, because the mean of its divisors is an integer number (28861747875).

Almost surely, 2^{2225251210440} is an apocalyptic number.

2225251210440 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 2225251210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694303728000).

2225251210440 is an abundant number, since it is smaller than the sum of its proper divisors (5163356245560).

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

2225251210440 is a wasteful number, since it uses less digits than its factorization.

2225251210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551840 (or 551836 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2225251210440 its reverse (440121525222), we get a palindrome (2665372735662).

The spelling of 2225251210440 in words is "two trillion, two hundred twenty-five billion, two hundred fifty-one million, two hundred ten thousand, four hundred forty".