2967040 has 80 divisors (see below), whose sum is σ = 7611120. Its totient is φ = 1105920.

The previous prime is 2967031. The next prime is 2967049. The reversal of 2967040 is 407692.

2967040 = T₇₃ + T₇₄ + ... + T₂₆₂.

It is an interprime number because it is at equal distance from previous prime (2967031) and next prime (2967049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48610 + ... + 48670.

It is an arithmetic number, because the mean of its divisors is an integer number (95139).

2^2967040 is an apocalyptic number.

2967040 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 2967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805560).

2967040 is an abundant number, since it is smaller than the sum of its proper divisors (4644080).

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

2967040 is an equidigital number, since it uses as much as digits as its factorization.

2967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2967040 is about 1722.5097967791. The cubic root of 2967040 is about 143.6948269678.

The spelling of 2967040 in words is "two million, nine hundred sixty-seven thousand, forty".