2225121840 has 240 divisors, whose sum is σ = 8206537248. Its totient is φ = 558379008.

The previous prime is 2225121839. The next prime is 2225121859. The reversal of 2225121840 is 481215222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327114 + ... + 333846.

Almost surely, 2^2225121840 is an apocalyptic number.

2225121840 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 2225121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103268624).

2225121840 is an abundant number, since it is smaller than the sum of its proper divisors (5981415408).

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

2225121840 is a wasteful number, since it uses less digits than its factorization.

2225121840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2225121840 is about 47171.1971440200. The cubic root of 2225121840 is about 1305.5232146937.

The spelling of 2225121840 in words is "two billion, two hundred twenty-five million, one hundred twenty-one thousand, eight hundred forty".