2996628 has 48 divisors (see below), whose sum is σ = 7392000. Its totient is φ = 943488.

The previous prime is 2996611. The next prime is 2996629. The reversal of 2996628 is 8266992.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2996628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27438 + ... + 27546.

It is an arithmetic number, because the mean of its divisors is an integer number (154000).

2^2996628 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 2996628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696000).

2996628 is an abundant number, since it is smaller than the sum of its proper divisors (4395372).

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

2996628 is a wasteful number, since it uses less digits than its factorization.

2996628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 2996628 is about 1731.0771213323. The cubic root of 2996628 is about 144.1709004886.

The spelling of 2996628 in words is "two million, nine hundred ninety-six thousand, six hundred twenty-eight".