240251220 has 144 divisors (see below), whose sum is σ = 806682240. Its totient is φ = 57388800.

The previous prime is 240251203. The next prime is 240251239. The reversal of 240251220 is 22152042.

240251220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240251220² = 115441297422976800, 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 = 240251193 and 240251202.

It is a congruent number.

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, 139726 + ... + 141434.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^240251220 is an apocalyptic number.

240251220 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 240251220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

240251220 is an abundant number, since it is smaller than the sum of its proper divisors (566431020).

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

240251220 is a wasteful number, since it uses less digits than its factorization.

240251220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1801 counting only the distinct ones).

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

The square root of 240251220 is about 15500.0393547887. The cubic root of 240251220 is about 621.6632586198.

It can be divided in two parts, 240251 and 220, that added together give a triangular number (240471 = T₆₉₃).

The spelling of 240251220 in words is "two hundred forty million, two hundred fifty-one thousand, two hundred twenty".