2782985625 has 180 divisors, whose sum is σ = 6111293760. Its totient is φ = 1214136000.

The previous prime is 2782985617. The next prime is 2782985657. The reversal of 2782985625 is 5265892872.

It is a happy number.

2782985625 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 9 + 8 + 5 + 625 = 666.

It is not a de Polignac number, because 2782985625 - 2³ = 2782985617 is a prime.

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, 6339156 + ... + 6339594.

It is an arithmetic number, because the mean of its divisors is an integer number (33951632).

Almost surely, 2^2782985625 is an apocalyptic number.

2782985625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2782985625 is an abundant number, since it is smaller than the sum of its proper divisors (3328308135).

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

2782985625 is a wasteful number, since it uses less digits than its factorization.

2782985625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 477 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 2782985625 is about 52754.0105110502. The cubic root of 2782985625 is about 1406.5990540927.

The spelling of 2782985625 in words is "two billion, seven hundred eighty-two million, nine hundred eighty-five thousand, six hundred twenty-five".