2949840 has 120 divisors (see below), whose sum is σ = 10532808. Its totient is φ = 737280.

The previous prime is 2949839. The next prime is 2949841. The reversal of 2949840 is 489492.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2949839) and next prime (2949841).

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 2005056 = 972^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2949795 and 2949804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12120 + ... + 12360.

2^2949840 is an apocalyptic number.

2949840 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 2949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266404).

2949840 is an abundant number, since it is smaller than the sum of its proper divisors (7582968).

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

2949840 is a wasteful number, since it uses less digits than its factorization.

2949840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2949840 is about 1717.5098252994. The cubic root of 2949840 is about 143.4166212651.

The spelling of 2949840 in words is "two million, nine hundred forty-nine thousand, eight hundred forty".