2946962125 has 32 divisors (see below), whose sum is σ = 3869584992. Its totient is φ = 2237760000.

The previous prime is 2946962119. The next prime is 2946962153. The reversal of 2946962125 is 5212696492.

It can be written as a sum of positive squares in 16 ways, for example, as 1817061129 + 1129900996 = 42627^2 + 33614^2 .

It is not a de Polignac number, because 2946962125 - 2¹⁵ = 2946929357 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181855 + ... + 197395.

It is an arithmetic number, because the mean of its divisors is an integer number (120924531).

Almost surely, 2^2946962125 is an apocalyptic number.

2946962125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2946962125 is a deficient number, since it is larger than the sum of its proper divisors (922622867).

2946962125 is a wasteful number, since it uses less digits than its factorization.

2946962125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15634 (or 15624 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 2946962125 is about 54285.9293463785. The cubic root of 2946962125 is about 1433.6996682465.

The spelling of 2946962125 in words is "two billion, nine hundred forty-six million, nine hundred sixty-two thousand, one hundred twenty-five".