2778752 has 32 divisors (see below), whose sum is σ = 5866020. Its totient is φ = 1306624.

The previous prime is 2778739. The next prime is 2778779. The reversal of 2778752 is 2578772.

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 141376 = 1624^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1538 + ... + 2814.

2^2778752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933010).

2778752 is an abundant number, since it is smaller than the sum of its proper divisors (3087268).

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

2778752 is a wasteful number, since it uses less digits than its factorization.

2778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its digits is 54880, while the sum is 38.

The square root of 2778752 is about 1666.9589077119. The cubic root of 2778752 is about 140.5885427797.

It can be divided in two parts, 2 and 778752, that multiplied together give a square (1557504 = 1248²).

The spelling of 2778752 in words is "two million, seven hundred seventy-eight thousand, seven hundred fifty-two".