2225017553040 has 160 divisors (see below), whose sum is σ = 7668410202240. Its totient is φ = 592992658944.

The previous prime is 2225017553039. The next prime is 2225017553093. The reversal of 2225017553040 is 403557105222.

2225017553040 is a `hidden beast` number, since 2 + 2 + 2 + 50 + 1 + 75 + 530 + 4 + 0 = 666.

It is a super-2 number, since 2×2225017553040² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2225017552986 and 2225017553004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3422754 + ... + 4020606.

It is an arithmetic number, because the mean of its divisors is an integer number (47927563764).

Almost surely, 2^{2225017553040} is an apocalyptic number.

2225017553040 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 2225017553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834205101120).

2225017553040 is an abundant number, since it is smaller than the sum of its proper divisors (5443392649200).

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

2225017553040 is a wasteful number, since it uses less digits than its factorization.

2225017553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599598 (or 599586 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 2225017553040 in words is "two trillion, two hundred twenty-five billion, seventeen million, five hundred fifty-three thousand, forty".