2825653248 has 440 divisors, whose sum is σ = 9748960320. Its totient is φ = 806215680.

The previous prime is 2825653241. The next prime is 2825653319. The reversal of 2825653248 is 8423565282.

2825653248 is a `hidden beast` number, since 2 + 82 + 565 + 3 + 2 + 4 + 8 = 666.

Its product of digits (921600) is a multiple of the sum of its prime factors (225).

It is not an unprimeable number, because it can be changed into a prime (2825653241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17335215 + ... + 17335377.

It is an arithmetic number, because the mean of its divisors is an integer number (22156728).

Almost surely, 2^2825653248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874480160).

2825653248 is an abundant number, since it is smaller than the sum of its proper divisors (6923307072).

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

2825653248 is a wasteful number, since it uses less digits than its factorization.

2825653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2825653248 is about 53156.8739487190. The cubic root of 2825653248 is about 1413.7510983675.

The spelling of 2825653248 in words is "two billion, eight hundred twenty-five million, six hundred fifty-three thousand, two hundred forty-eight".