2225392590870 has 256 divisors, whose sum is σ = 6280158044160. Its totient is φ = 559847116800.

The previous prime is 2225392590847. The next prime is 2225392590871. The reversal of 2225392590870 is 780952935222.

2225392590870 is a `hidden beast` number, since 2 + 2 + 2 + 539 + 25 + 9 + 0 + 87 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225392590871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 829440549 + ... + 829443231.

It is an arithmetic number, because the mean of its divisors is an integer number (24531867360).

Almost surely, 2^{2225392590870} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225392590870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140079022080).

2225392590870 is an abundant number, since it is smaller than the sum of its proper divisors (4054765453290).

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

2225392590870 is a wasteful number, since it uses less digits than its factorization.

2225392590870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2225392590870 in words is "two trillion, two hundred twenty-five billion, three hundred ninety-two million, five hundred ninety thousand, eight hundred seventy".