2967552 has 144 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 811008.

The previous prime is 2967551. The next prime is 2967583. The reversal of 2967552 is 2557692.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (37800) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (2967551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129013 + ... + 129035.

It is an arithmetic number, because the mean of its divisors is an integer number (70980).

2^2967552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

2967552 is an abundant number, since it is smaller than the sum of its proper divisors (7253568).

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

2967552 is a wasteful number, since it uses less digits than its factorization.

2967552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2967552 is about 1722.6584107129. The cubic root of 2967552 is about 143.7030919411.

The spelling of 2967552 in words is "two million, nine hundred sixty-seven thousand, five hundred fifty-two".