2967264 has 36 divisors (see below), whose sum is σ = 8438976. Its totient is φ = 988992.

The previous prime is 2967259. The next prime is 2967269. The reversal of 2967264 is 4627692.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2967259) and next prime (2967269).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4864 + ... + 5439.

It is an arithmetic number, because the mean of its divisors is an integer number (234416).

2^2967264 is an apocalyptic number.

2967264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2967264 is an abundant number, since it is smaller than the sum of its proper divisors (5471712).

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

2967264 is a wasteful number, since it uses less digits than its factorization.

2967264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10308 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2967264 is about 1722.5748169528. The cubic root of 2967264 is about 143.6984430106.

The spelling of 2967264 in words is "two million, nine hundred sixty-seven thousand, two hundred sixty-four".