2981952 has 84 divisors (see below), whose sum is σ = 8875776. Its totient is φ = 956160.

The previous prime is 2981947. The next prime is 2981959. The reversal of 2981952 is 2591892.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (12960) is a multiple of the sum of its prime factors (216).

It is a nialpdrome in base 9 and base 12.

It is not an unprimeable number, because it can be changed into a prime (2981959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17773 + ... + 17939.

It is an arithmetic number, because the mean of its divisors is an integer number (105664).

2^2981952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437888).

2981952 is an abundant number, since it is smaller than the sum of its proper divisors (5893824).

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

2981952 is a wasteful number, since it uses less digits than its factorization.

2981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2981952 is about 1726.8329392272. The cubic root of 2981952 is about 143.9351559899.

The spelling of 2981952 in words is "two million, nine hundred eighty-one thousand, nine hundred fifty-two".