2890912 has 24 divisors (see below), whose sum is σ = 5788692. Its totient is φ = 1420800.

The previous prime is 2890897. The next prime is 2890913. The reversal of 2890912 is 2190982.

2890912 = T₂₆₈ + T₂₆₉ + ... + T₃₃₁.

It can be written as a sum of positive squares in 2 ways, for example, as 2572816 + 318096 = 1604^2 + 564^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2890913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1212 + ... + 2692.

2^2890912 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 2890912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346).

2890912 is an abundant number, since it is smaller than the sum of its proper divisors (2897780).

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

2890912 is a wasteful number, since it uses less digits than its factorization.

2890912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 2890912 is about 1700.2682141356. The cubic root of 2890912 is about 142.4551946958.

The spelling of 2890912 in words is "two million, eight hundred ninety thousand, nine hundred twelve".