2949000 has 64 divisors (see below), whose sum is σ = 9210240. Its totient is φ = 785600.

The previous prime is 2948987. The next prime is 2949013. The reversal of 2949000 is 9492.

It is an interprime number because it is at equal distance from previous prime (2948987) and next prime (2949013).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (143910).

2^2949000 is an apocalyptic number.

2949000 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 2949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605120).

2949000 is an abundant number, since it is smaller than the sum of its proper divisors (6261240).

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

2949000 is a wasteful number, since it uses less digits than its factorization.

2949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2949000 is about 1717.2652678023. The cubic root of 2949000 is about 143.4030068093.

The spelling of 2949000 in words is "two million, nine hundred forty-nine thousand".