2964500 has 108 divisors (see below), whose sum is σ = 8278452. Its totient is φ = 924000.

The previous prime is 2964497. The next prime is 2964509. The reversal of 2964500 is 54692.

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 94864 + 2869636 = 308^2 + 1694^2 .

It is a super-3 number, since 3×2964500³ = 78158392533375000000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2964500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964509) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269495 + ... + 269505.

2^2964500 is an apocalyptic number.

2964500 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 2964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139226).

2964500 is an abundant number, since it is smaller than the sum of its proper divisors (5313952).

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

2964500 is a wasteful number, since it uses less digits than its factorization.

2964500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2964500 is about 1721.7723426748. The cubic root of 2964500 is about 143.6538108865.

The spelling of 2964500 in words is "two million, nine hundred sixty-four thousand, five hundred".