2967048 has 108 divisors (see below), whose sum is σ = 9681165. Its totient is φ = 818496.

The previous prime is 2967031. The next prime is 2967049. The reversal of 2967048 is 8407692.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2965284 + 1764 = 1722^2 + 42^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1218.

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

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

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102298 + ... + 102326.

2^2967048 is an apocalyptic number.

2967048 is a gapful number since it is divisible by the number (28) 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 2967048

2967048 is an abundant number, since it is smaller than the sum of its proper divisors (6714117).

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

2967048 is a wasteful number, since it uses less digits than its factorization.

2967048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2967048 is about 1722.5121189704. The cubic root of 2967048 is about 143.6949561153.

The spelling of 2967048 in words is "two million, nine hundred sixty-seven thousand, forty-eight".