2225283840 has 540 divisors, whose sum is σ = 8689976064. Its totient is φ = 543449088.

The previous prime is 2225283817. The next prime is 2225283847. The reversal of 2225283840 is 483825222.

2225283840 is a `hidden beast` number, since 22 + 252 + 8 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 = 2225283795 and 2225283804.

It is not an unprimeable number, because it can be changed into a prime (2225283847) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17521857 + ... + 17521983.

Almost surely, 2^2225283840 is an apocalyptic number.

2225283840 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 2225283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344988032).

2225283840 is an abundant number, since it is smaller than the sum of its proper divisors (6464692224).

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

2225283840 is a wasteful number, since it uses less digits than its factorization.

2225283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2225283840 is about 47172.9142623179. The cubic root of 2225283840 is about 1305.5548967983.

The spelling of 2225283840 in words is "two billion, two hundred twenty-five million, two hundred eighty-three thousand, eight hundred forty".