2825313660 has 144 divisors (see below), whose sum is σ = 9246182400. Its totient is φ = 694195200.

The previous prime is 2825313641. The next prime is 2825313677. The reversal of 2825313660 is 663135282.

It is a happy number.

2825313660 is a `hidden beast` number, since 282 + 5 + 313 + 6 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2454085 + ... + 2455235.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 2^2825313660 is an apocalyptic number.

2825313660 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 2825313660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2825313660 is an abundant number, since it is smaller than the sum of its proper divisors (6420868740).

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

2825313660 is a wasteful number, since it uses less digits than its factorization.

2825313660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2825313660 is about 53153.6796468504. The cubic root of 2825313660 is about 1413.6944610640.

The spelling of 2825313660 in words is "two billion, eight hundred twenty-five million, three hundred thirteen thousand, six hundred sixty".