2778948 has 42 divisors (see below), whose sum is σ = 7299054. Its totient is φ = 925344.

The previous prime is 2778917. The next prime is 2778967. The reversal of 2778948 is 8498772.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 492804 = 1512^2 + 702^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2440 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (173787).

2^2778948 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 2778948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649527).

2778948 is an abundant number, since it is smaller than the sum of its proper divisors (4520106).

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

2778948 is an equidigital number, since it uses as much as digits as its factorization.

2778948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 958 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2778948 is about 1667.0176963668. The cubic root of 2778948 is about 140.5918481852.

Subtracting from 2778948 its sum of digits (45), we obtain a triangular number (2778903 = T₂₃₅₇).

The spelling of 2778948 in words is "two million, seven hundred seventy-eight thousand, nine hundred forty-eight".