2778672 has 80 divisors (see below), whose sum is σ = 7964768. Its totient is φ = 829440.

The previous prime is 2778649. The next prime is 2778673. The reversal of 2778672 is 2768772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2778672.

It is not an unprimeable number, because it can be changed into a prime (2778673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38028 + ... + 38100.

2^2778672 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 2778672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982384).

2778672 is an abundant number, since it is smaller than the sum of its proper divisors (5186096).

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

2778672 is a wasteful number, since it uses less digits than its factorization.

2778672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 2778672 is about 1666.9349117467. The cubic root of 2778672 is about 140.5871935899.

The spelling of 2778672 in words is "two million, seven hundred seventy-eight thousand, six hundred seventy-two".