2780424 has 72 divisors (see below), whose sum is σ = 7979790. Its totient is φ = 874368.

The previous prime is 2780419. The next prime is 2780443. The reversal of 2780424 is 4240872.

It can be written as a sum of positive squares in only one way, i.e., 2304324 + 476100 = 1518^2 + 690^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38052 + ... + 38124.

2^2780424 is an apocalyptic number.

2780424 is a gapful number since it is divisible by the number (24) 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 2780424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989895).

2780424 is an abundant number, since it is smaller than the sum of its proper divisors (5199366).

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

2780424 is a wasteful number, since it uses less digits than its factorization.

2780424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2780424 is about 1667.4603443561. The cubic root of 2780424 is about 140.6167349216.

The spelling of 2780424 in words is "two million, seven hundred eighty thousand, four hundred twenty-four".