2825397960 has 256 divisors, whose sum is σ = 11189975040. Its totient is φ = 552529920.

The previous prime is 2825397929. The next prime is 2825397961. The reversal of 2825397960 is 697935282.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2825397961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148087 + ... + 166073.

It is an arithmetic number, because the mean of its divisors is an integer number (43710840).

Almost surely, 2^2825397960 is an apocalyptic number.

2825397960 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 2825397960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594987520).

2825397960 is an abundant number, since it is smaller than the sum of its proper divisors (8364577080).

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

2825397960 is a wasteful number, since it uses less digits than its factorization.

2825397960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18036 (or 18032 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 2825397960 is about 53154.4726246061. The cubic root of 2825397960 is about 1413.7085212443.

The spelling of 2825397960 in words is "two billion, eight hundred twenty-five million, three hundred ninety-seven thousand, nine hundred sixty".