2788900 has 27 divisors (see below), whose sum is σ = 6088369. Its totient is φ = 1108880.

The previous prime is 2788889. The next prime is 2788927. The reversal of 2788900 is 98872.

It is a happy number.

The square root of 2788900 is 1670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1004004 + 1784896 = 1002^2 + 1336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16617 + ... + 16783.

2^2788900 is an apocalyptic number.

2788900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2788900 is the 1670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788900

2788900 is an abundant number, since it is smaller than the sum of its proper divisors (3299469).

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

2788900 is a wasteful number, since it uses less digits than its factorization.

2788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The cubic root of 2788900 is about 140.7594779438.

It can be divided in two parts, 278 and 8900, that multiplied together give a triangular number (2474200 = T₂₂₂₄).

The spelling of 2788900 in words is "two million, seven hundred eighty-eight thousand, nine hundred".