2949120 has 102 divisors (see below), whose sum is σ = 10223538. Its totient is φ = 786432.

The previous prime is 2949119. The next prime is 2949137. The reversal of 2949120 is 219492.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)¹².

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 589824 = 1536^2 + 768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589822 + ... + 589826.

2^2949120 is an apocalyptic number.

2949120 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 2949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111769).

2949120 is an abundant number, since it is smaller than the sum of its proper divisors (7274418).

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

2949120 is an frugal number, since it uses more digits than its factorization.

2949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2949120 is about 1717.3002067198. The cubic root of 2949120 is about 143.4049518898.

The spelling of 2949120 in words is "two million, nine hundred forty-nine thousand, one hundred twenty".