2768440 has 32 divisors (see below), whose sum is σ = 6328080. Its totient is φ = 1089792.

The previous prime is 2768431. The next prime is 2768449. The reversal of 2768440 is 448672.

2768440 = T₅₅ + T₅₆ + ... + T₂₅₅.

2768440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2768431) and next prime (2768449).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 3196.

2^2768440 is an apocalyptic number.

2768440 is a gapful number since it is divisible by the number (20) 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 2768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164040).

2768440 is an abundant number, since it is smaller than the sum of its proper divisors (3559640).

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

2768440 is a wasteful number, since it uses less digits than its factorization.

2768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2768440 is about 1663.8629751275. The cubic root of 2768440 is about 140.4144183156.

The spelling of 2768440 in words is "two million, seven hundred sixty-eight thousand, four hundred forty".