2825040960 has 336 divisors, whose sum is σ = 11759769216. Its totient is φ = 607666176.

The previous prime is 2825040929. The next prime is 2825040979. The reversal of 2825040960 is 690405282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 338599 + ... + 346841.

Almost surely, 2^2825040960 is an apocalyptic number.

2825040960 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 2825040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879884608).

2825040960 is an abundant number, since it is smaller than the sum of its proper divisors (8934728256).

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

2825040960 is a wasteful number, since it uses less digits than its factorization.

2825040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8290 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2825040960 is about 53151.1143815442. The cubic root of 2825040960 is about 1413.6489762164.

The spelling of 2825040960 in words is "two billion, eight hundred twenty-five million, forty thousand, nine hundred sixty".