2985952 has 24 divisors (see below), whose sum is σ = 6135696. Its totient is φ = 1427712.

The previous prime is 2985949. The next prime is 2985953. The reversal of 2985952 is 2595892.

It is a d-powerful number, because it can be written as 2¹⁴ + 9² + 8⁶ + 5⁴ + 9⁶ + 5⁷ + 2²¹ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1293 + ... + 2764.

It is an arithmetic number, because the mean of its divisors is an integer number (255654).

2^2985952 is an apocalyptic number.

It is an amenable number.

2985952 is an abundant number, since it is smaller than the sum of its proper divisors (3149744).

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

2985952 is a wasteful number, since it uses less digits than its factorization.

2985952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4082 counting only the distinct ones).

The product of its digits is 64800, while the sum is 40.

The square root of 2985952 is about 1727.9907407159. The cubic root of 2985952 is about 143.9994855949. Note that the first 3 decimals are identical.

The spelling of 2985952 in words is "two million, nine hundred eighty-five thousand, nine hundred fifty-two".