2825205400 has 48 divisors (see below), whose sum is σ = 6585170040. Its totient is φ = 1127232000.

The previous prime is 2825205379. The next prime is 2825205421. The reversal of 2825205400 is 45025282.

It is an interprime number because it is at equal distance from previous prime (2825205379) and next prime (2825205421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62587 + ... + 97813.

Almost surely, 2^2825205400 is an apocalyptic number.

2825205400 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 2825205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292585020).

2825205400 is an abundant number, since it is smaller than the sum of its proper divisors (3759964640).

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

2825205400 is a wasteful number, since it uses less digits than its factorization.

2825205400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35644 (or 35635 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 2825205400 is about 53152.6612692159. The cubic root of 2825205400 is about 1413.6764042468.

The spelling of 2825205400 in words is "two billion, eight hundred twenty-five million, two hundred five thousand, four hundred".