2825206956 has 144 divisors (see below), whose sum is σ = 8516272128. Its totient is φ = 778377600.

The previous prime is 2825206949. The next prime is 2825206963. The reversal of 2825206956 is 6596025282.

It is an interprime number because it is at equal distance from previous prime (2825206949) and next prime (2825206963).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340821 + ... + 349011.

Almost surely, 2^2825206956 is an apocalyptic number.

2825206956 is a gapful number since it is divisible by the number (26) 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 2825206956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258136064).

2825206956 is an abundant number, since it is smaller than the sum of its proper divisors (5691065172).

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

2825206956 is a wasteful number, since it uses less digits than its factorization.

2825206956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2825206956 is about 53152.6759062985. The cubic root of 2825206956 is about 1413.6766637772.

The spelling of 2825206956 in words is "two billion, eight hundred twenty-five million, two hundred six thousand, nine hundred fifty-six".