2250141520 has 160 divisors (see below), whose sum is σ = 6016757760. Its totient is φ = 774597120.

The previous prime is 2250141503. The next prime is 2250141527. The reversal of 2250141520 is 251410522.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2250141491 and 2250141500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250141527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165161 + ... + 2166199.

It is an arithmetic number, because the mean of its divisors is an integer number (37604736).

Almost surely, 2^2250141520 is an apocalyptic number.

2250141520 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 2250141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008378880).

2250141520 is an abundant number, since it is smaller than the sum of its proper divisors (3766616240).

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

2250141520 is a wasteful number, since it uses less digits than its factorization.

2250141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2250141520 is about 47435.6566308510. The cubic root of 2250141520 is about 1310.3981696634.

The spelling of 2250141520 in words is "two billion, two hundred fifty million, one hundred forty-one thousand, five hundred twenty".