2825729550 has 360 divisors, whose sum is σ = 9467373960. Its totient is φ = 622339200.

The previous prime is 2825729483. The next prime is 2825729573. The reversal of 2825729550 is 559275282.

2825729550 is a `hidden beast` number, since 2 + 8 + 25 + 72 + 9 + 550 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2825729496 and 2825729505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5754805 + ... + 5755295.

It is an arithmetic number, because the mean of its divisors is an integer number (26298261).

Almost surely, 2^2825729550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825729550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733686980).

2825729550 is an abundant number, since it is smaller than the sum of its proper divisors (6641644410).

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

2825729550 is a wasteful number, since it uses less digits than its factorization.

2825729550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2825729550 is about 53157.5916497352. The cubic root of 2825729550 is about 1413.7638235743.

The spelling of 2825729550 in words is "two billion, eight hundred twenty-five million, seven hundred twenty-nine thousand, five hundred fifty".