2778400 has 72 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 1056000.

The previous prime is 2778383. The next prime is 2778401. The reversal of 2778400 is 48772.

It is not an unprimeable number, because it can be changed into a prime (2778401) 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, 18325 + ... + 18475.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

2^2778400 is an apocalyptic number.

2778400 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 2778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2778400 is an abundant number, since it is smaller than the sum of its proper divisors (4346144).

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

2778400 is a wasteful number, since it uses less digits than its factorization.

2778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 2778400 is about 1666.8533228812. The cubic root of 2778400 is about 140.5826061510.

The spelling of 2778400 in words is "two million, seven hundred seventy-eight thousand, four hundred".