2780448 has 48 divisors (see below), whose sum is σ = 7965216. Its totient is φ = 842240.

The previous prime is 2780443. The next prime is 2780467. The reversal of 2780448 is 8440872.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2780443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 2372.

It is an arithmetic number, because the mean of its divisors is an integer number (165942).

2^2780448 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 2780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982608).

2780448 is an abundant number, since it is smaller than the sum of its proper divisors (5184768).

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

2780448 is a wasteful number, since it uses less digits than its factorization.

2780448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2780448 is about 1667.4675409135. The cubic root of 2780448 is about 140.6171395112.

It can be divided in two parts, 2 and 780448, that multiplied together give a cube (1560896 = 116³).

The spelling of 2780448 in words is "two million, seven hundred eighty thousand, four hundred forty-eight".