2825693640 has 384 divisors, whose sum is σ = 11835936000. Its totient is φ = 586967040.

The previous prime is 2825693593. The next prime is 2825693683. The reversal of 2825693640 is 463965282.

2825693640 is a `hidden beast` number, since 2 + 82 + 569 + 3 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 913216 + ... + 916304.

It is an arithmetic number, because the mean of its divisors is an integer number (30822750).

Almost surely, 2^2825693640 is an apocalyptic number.

2825693640 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 2825693640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917968000).

2825693640 is an abundant number, since it is smaller than the sum of its proper divisors (9010242360).

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

2825693640 is a wasteful number, since it uses less digits than its factorization.

2825693640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2825693640 is about 53157.2538794095. The cubic root of 2825693640 is about 1413.7578347405.

The spelling of 2825693640 in words is "two billion, eight hundred twenty-five million, six hundred ninety-three thousand, six hundred forty".