2880900 has 144 divisors (see below), whose sum is σ = 10207680. Its totient is φ = 691200.

The previous prime is 2880887. The next prime is 2880901. The reversal of 2880900 is 90882.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2880901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29652 + ... + 29748.

2^2880900 is an apocalyptic number.

2880900 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 2880900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103840).

2880900 is an abundant number, since it is smaller than the sum of its proper divisors (7326780).

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

2880900 is a wasteful number, since it uses less digits than its factorization.

2880900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2880900 is about 1697.3214191779. The cubic root of 2880900 is about 142.2905510248.

The spelling of 2880900 in words is "two million, eight hundred eighty thousand, nine hundred".