2252000640 has 128 divisors (see below), whose sum is σ = 7193668320. Its totient is φ = 599244800.

The previous prime is 2252000627. The next prime is 2252000719. The reversal of 2252000640 is 460002522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1183690 + ... + 1185590.

Almost surely, 2^2252000640 is an apocalyptic number.

2252000640 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 2252000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596834160).

2252000640 is an abundant number, since it is smaller than the sum of its proper divisors (4941667680).

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

2252000640 is a wasteful number, since it uses less digits than its factorization.

2252000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2252000640 is about 47455.2488140142. The cubic root of 2252000640 is about 1310.7589642751.

The spelling of 2252000640 in words is "two billion, two hundred fifty-two million, six hundred forty", and thus it is an aban number.