2890100 has 18 divisors (see below), whose sum is σ = 6271734. Its totient is φ = 1156000.

The previous prime is 2890093. The next prime is 2890103. The reversal of 2890100 is 10982.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 1865956 = 1012^2 + 1366^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890103) 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, 14351 + ... + 14550.

2^2890100 is an apocalyptic number.

2890100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890100 is an abundant number, since it is smaller than the sum of its proper divisors (3381634).

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

2890100 is a wasteful number, since it uses less digits than its factorization.

2890100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28915 (or 28908 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2890100 is about 1700.0294115103. The cubic root of 2890100 is about 142.4418558314.

The spelling of 2890100 in words is "two million, eight hundred ninety thousand, one hundred".