2825840664 has 96 divisors (see below), whose sum is σ = 8274006000. Its totient is φ = 868237056.

The previous prime is 2825840653. The next prime is 2825840687. The reversal of 2825840664 is 4660485282.

2825840664 is a `hidden beast` number, since 2 + 8 + 2 + 584 + 0 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22702 + ... + 78530.

Almost surely, 2^2825840664 is an apocalyptic number.

2825840664 is a gapful number since it is divisible by the number (24) 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 2825840664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137003000).

2825840664 is an abundant number, since it is smaller than the sum of its proper divisors (5448165336).

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

2825840664 is a wasteful number, since it uses less digits than its factorization.

2825840664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55897 (or 55890 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2825840664 is about 53158.6367771033. The cubic root of 2825840664 is about 1413.7823541156.

The spelling of 2825840664 in words is "two billion, eight hundred twenty-five million, eight hundred forty thousand, six hundred sixty-four".