2225440164100 has 72 divisors (see below), whose sum is σ = 4896061397640. Its totient is φ = 877855841280.

The previous prime is 2225440164041. The next prime is 2225440164137. The reversal of 2225440164100 is 14610445222.

It can be written as a sum of positive squares in 12 ways, for example, as 403895838784 + 1821544325316 = 635528^2 + 1349646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63441366 + ... + 63476434.

It is an arithmetic number, because the mean of its divisors is an integer number (68000852745).

Almost surely, 2^{2225440164100} is an apocalyptic number.

2225440164100 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 2225440164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448030698820).

2225440164100 is an abundant number, since it is smaller than the sum of its proper divisors (2670621233540).

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

2225440164100 is a wasteful number, since it uses less digits than its factorization.

2225440164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43849 (or 43842 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 2225440164100 in words is "two trillion, two hundred twenty-five billion, four hundred forty million, one hundred sixty-four thousand, one hundred".