2996640 has 72 divisors (see below), whose sum is σ = 10230948. Its totient is φ = 798720.

The previous prime is 2996633. The next prime is 2996663. The reversal of 2996640 is 466992.

2996640 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 640 = 666.

2996640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 51984 = 1716^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2996595 and 2996604.

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 11 ways as a sum of consecutive naturals, for example, 400 + ... + 2480.

2^2996640 is an apocalyptic number.

2996640 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 2996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115474).

2996640 is an abundant number, since it is smaller than the sum of its proper divisors (7234308).

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

2996640 is a wasteful number, since it uses less digits than its factorization.

2996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2996640 is about 1731.0805873789. The cubic root of 2996640 is about 144.1710929325.

It can be divided in two parts, 29 and 96640, that added together give a palindrome (96669).

The spelling of 2996640 in words is "two million, nine hundred ninety-six thousand, six hundred forty".