1252020240 has 200 divisors, whose sum is σ = 4393801368. Its totient is φ = 330393600.

The previous prime is 1252020167. The next prime is 1252020251. The reversal of 1252020240 is 420202521.

It can be written as a sum of positive squares in 4 ways, for example, as 673713936 + 578306304 = 25956^2 + 24048^2 .

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

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, 653524 + ... + 655436.

Almost surely, 2^1252020240 is an apocalyptic number.

1252020240 is a gapful number since it is divisible by the number (10) 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 1252020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196900684).

1252020240 is an abundant number, since it is smaller than the sum of its proper divisors (3141781128).

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

1252020240 is a wasteful number, since it uses less digits than its factorization.

1252020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2024 counting only the distinct ones).

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

The square root of 1252020240 is about 35383.8980328623. The cubic root of 1252020240 is about 1077.7973626732.

Adding to 1252020240 its reverse (420202521), we get a palindrome (1672222761).

The spelling of 1252020240 in words is "one billion, two hundred fifty-two million, twenty thousand, two hundred forty".