252641280 has 136 divisors (see below), whose sum is σ = 811591632. Its totient is φ = 67108864.

The previous prime is 252641261. The next prime is 252641287. The reversal of 252641280 is 82146252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252641287) by changing a digit.

In principle, a polygon with 252641280 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982912 + ... + 983168.

Almost surely, 2^252641280 is an apocalyptic number.

252641280 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 252641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405795816).

252641280 is an abundant number, since it is smaller than the sum of its proper divisors (558950352).

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

252641280 is an frugal number, since it uses more digits than its factorization.

252641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 252641280 is about 15894.6934541060. The cubic root of 252641280 is about 632.1712936324.

252641280 divided by its product of nonzero digits (7680) gives a triangular number (32896 = T₂₅₆).

The spelling of 252641280 in words is "two hundred fifty-two million, six hundred forty-one thousand, two hundred eighty".