2679615225 has 243 divisors, whose sum is σ = 6142376487. Its totient is φ = 1113154560.

The previous prime is 2679615193. The next prime is 2679615233. The reversal of 2679615225 is 5225169762.

The square root of 2679615225 is 51765.

It is a perfect power (a square), and thus also a powerful number.

2679615225 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 615 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 873025209 + 1806590016 = 29547^2 + 42504^2 .

It is not a de Polignac number, because 2679615225 - 2⁵ = 2679615193 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 92400511 + ... + 92400539.

Almost surely, 2^2679615225 is an apocalyptic number.

2679615225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2679615225 is the 51765-th square number.

2679615225 is the 25883-rd centered octagonal number.

It is an amenable number.

2679615225 is an abundant number, since it is smaller than the sum of its proper divisors (3462761262).

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

2679615225 is a wasteful number, since it uses less digits than its factorization.

2679615225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The cubic root of 2679615225 is about 1388.9634328050.

The spelling of 2679615225 in words is "two billion, six hundred seventy-nine million, six hundred fifteen thousand, two hundred twenty-five".