2946861225 has 243 divisors, whose sum is σ = 6895457751. Its totient is φ = 1198612800.

The previous prime is 2946861217. The next prime is 2946861241. The reversal of 2946861225 is 5221686492.

2946861225 = 1³ + 2³ + ... + 329³.

The square root of 2946861225 is 54285.

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

2946861225 is a `hidden beast` number, since 2 + 9 + 4 + 6 + 8 + 612 + 25 = 666.

2946861225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1060870041 + 1885991184 = 32571^2 + 43428^2 .

It is not a de Polignac number, because 2946861225 - 2³ = 2946861217 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 polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 62699152 + ... + 62699198.

Almost surely, 2^2946861225 is an apocalyptic number.

2946861225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2946861225 is the 54285-th square number.

2946861225 is the 27143-rd centered octagonal number.

It is an amenable number.

2946861225 is an abundant number, since it is smaller than the sum of its proper divisors (3948596526).

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

2946861225 is a wasteful number, since it uses less digits than its factorization.

2946861225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 2946861225 is about 1433.6833054135.

The spelling of 2946861225 in words is "two billion, nine hundred forty-six million, eight hundred sixty-one thousand, two hundred twenty-five".