2967420 has 72 divisors (see below), whose sum is σ = 8833104. Its totient is φ = 744192.

The previous prime is 2967409. The next prime is 2967421. The reversal of 2967420 is 247692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21592 + ... + 21728.

It is an arithmetic number, because the mean of its divisors is an integer number (122682).

2^2967420 is an apocalyptic number.

2967420 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 2967420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416552).

2967420 is an abundant number, since it is smaller than the sum of its proper divisors (5865684).

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

2967420 is a wasteful number, since it uses less digits than its factorization.

2967420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2967420 is about 1722.6200974098. The cubic root of 2967420 is about 143.7009612187.

The spelling of 2967420 in words is "two million, nine hundred sixty-seven thousand, four hundred twenty".