1252643040 has 288 divisors, whose sum is σ = 4815562752. Its totient is φ = 293760000.

The previous prime is 1252643027. The next prime is 1252643047. The reversal of 1252643040 is 403462521.

1252643040 is a `hidden beast` number, since 12 + 5 + 2 + 643 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1252643040² = 3138229171320883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1252642995 and 1252643013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252643047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489765 + ... + 492315.

It is an arithmetic number, because the mean of its divisors is an integer number (16720704).

Almost surely, 2^1252643040 is an apocalyptic number.

1252643040 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 1252643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407781376).

1252643040 is an abundant number, since it is smaller than the sum of its proper divisors (3562919712).

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

1252643040 is a wasteful number, since it uses less digits than its factorization.

1252643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1252643040 is about 35392.6975518962. The cubic root of 1252643040 is about 1077.9760448023.

The spelling of 1252643040 in words is "one billion, two hundred fifty-two million, six hundred forty-three thousand, forty".