2961000 has 192 divisors, whose sum is σ = 11681280. Its totient is φ = 662400.

The previous prime is 2960989. The next prime is 2961019. The reversal of 2961000 is 1692.

2961000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62977 + ... + 63023.

It is an arithmetic number, because the mean of its divisors is an integer number (60840).

2^2961000 is an apocalyptic number.

2961000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840640).

2961000 is an abundant number, since it is smaller than the sum of its proper divisors (8720280).

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

2961000 is a wasteful number, since it uses less digits than its factorization.

2961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2961000 is about 1720.7556479640. The cubic root of 2961000 is about 143.5972542622.

Adding to 2961000 its reverse (1692), we get a palindrome (2962692).

It can be divided in two parts, 296 and 1000, that added together give a 4-th power (1296 = 6⁴).

The spelling of 2961000 in words is "two million, nine hundred sixty-one thousand".