1252841580 has 120 divisors (see below), whose sum is σ = 3951763200. Its totient is φ = 332259840.

The previous prime is 1252841561. The next prime is 1252841581. The reversal of 1252841580 is 851482521.

1252841580 is a `hidden beast` number, since 12 + 5 + 28 + 41 + 580 = 666.

It is a super-2 number, since 2×1252841580² = 3139224049153792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1252841581) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307396 + ... + 311444.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^1252841580 is an apocalyptic number.

1252841580 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 1252841580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975881600).

1252841580 is an abundant number, since it is smaller than the sum of its proper divisors (2698921620).

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

1252841580 is a wasteful number, since it uses less digits than its factorization.

1252841580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1252841580 is about 35395.5022566427. The cubic root of 1252841580 is about 1078.0329937364.

The spelling of 1252841580 in words is "one billion, two hundred fifty-two million, eight hundred forty-one thousand, five hundred eighty".