2237145120 has 288 divisors, whose sum is σ = 9184855680. Its totient is φ = 484392960.

The previous prime is 2237145083. The next prime is 2237145121. The reversal of 2237145120 is 215417322.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2237145121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185680 + ... + 197360.

It is an arithmetic number, because the mean of its divisors is an integer number (31891860).

Almost surely, 2^2237145120 is an apocalyptic number.

2237145120 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 2237145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592427840).

2237145120 is an abundant number, since it is smaller than the sum of its proper divisors (6947710560).

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

2237145120 is a wasteful number, since it uses less digits than its factorization.

2237145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11728 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2237145120 is about 47298.4684741483. The cubic root of 2237145120 is about 1307.8704245572.

The spelling of 2237145120 in words is "two billion, two hundred thirty-seven million, one hundred forty-five thousand, one hundred twenty".