2252040120 has 192 divisors, whose sum is σ = 8006675040. Its totient is φ = 544435200.

The previous prime is 2252040103. The next prime is 2252040139. The reversal of 2252040120 is 210402522.

2252040120 is a `hidden beast` number, since 22 + 520 + 4 + 0 + 120 = 666.

It is a super-2 number, since 2×2252040120² = 10143369404179228800, which contains 22 as substring.

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 = 2252040093 and 2252040102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2205210 + ... + 2206230.

Almost surely, 2^2252040120 is an apocalyptic number.

2252040120 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 2252040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003337520).

2252040120 is an abundant number, since it is smaller than the sum of its proper divisors (5754634920).

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

2252040120 is a wasteful number, since it uses less digits than its factorization.

2252040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1599 counting only the distinct ones).

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

The square root of 2252040120 is about 47455.6647830372. The cubic root of 2252040120 is about 1310.7666239031.

Adding to 2252040120 its reverse (210402522), we get a palindrome (2462442642).

The spelling of 2252040120 in words is "two billion, two hundred fifty-two million, forty thousand, one hundred twenty".