2825077440 has 112 divisors (see below), whose sum is σ = 9003548160. Its totient is φ = 750504960.

The previous prime is 2825077439. The next prime is 2825077447. The reversal of 2825077440 is 447705282.

It is not an unprimeable number, because it can be changed into a prime (2825077447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254731 + ... + 265589.

Almost surely, 2^2825077440 is an apocalyptic number.

2825077440 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 2825077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501774080).

2825077440 is an abundant number, since it is smaller than the sum of its proper divisors (6178470720).

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

2825077440 is a wasteful number, since it uses less digits than its factorization.

2825077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 2825077440 is about 53151.4575529213. The cubic root of 2825077440 is about 1413.6550610477.

The spelling of 2825077440 in words is "two billion, eight hundred twenty-five million, seventy-seven thousand, four hundred forty".