2778200 has 48 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 1070720.

The previous prime is 2778197. The next prime is 2778203. The reversal of 2778200 is 28772.

It is an interprime number because it is at equal distance from previous prime (2778197) and next prime (2778203).

It is a self number, because there is not a number n which added to its sum of digits gives 2778200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5561 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

2^2778200 is an apocalyptic number.

2778200 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 2778200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2778200 is an abundant number, since it is smaller than the sum of its proper divisors (3917800).

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

2778200 is a wasteful number, since it uses less digits than its factorization.

2778200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 2778200 is about 1666.7933285204. The cubic root of 2778200 is about 140.5792328431.

The spelling of 2778200 in words is "two million, seven hundred seventy-eight thousand, two hundred".