2240502120 has 160 divisors (see below), whose sum is σ = 7609278600. Its totient is φ = 591224832.

The previous prime is 2240502119. The next prime is 2240502161. The reversal of 2240502120 is 212050422.

2240502120 is a `hidden beast` number, since 2 + 2 + 40 + 502 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1864685124 + 375816996 = 43182^2 + 19386^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2240502093 and 2240502102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310716 + ... + 317844.

Almost surely, 2^2240502120 is an apocalyptic number.

2240502120 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 2240502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804639300).

2240502120 is an abundant number, since it is smaller than the sum of its proper divisors (5368776480).

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

2240502120 is a wasteful number, since it uses less digits than its factorization.

2240502120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2240502120 is about 47333.9425782387. The cubic root of 2240502120 is about 1308.5242827127.

Adding to 2240502120 its reverse (212050422), we get a palindrome (2452552542).

The spelling of 2240502120 in words is "two billion, two hundred forty million, five hundred two thousand, one hundred twenty".