2768940 has 36 divisors (see below), whose sum is σ = 8399664. Its totient is φ = 738336.

The previous prime is 2768939. The next prime is 2768957. The reversal of 2768940 is 498672.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2768895 and 2768904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7512 + ... + 7871.

It is an arithmetic number, because the mean of its divisors is an integer number (233324).

2^2768940 is an apocalyptic number.

2768940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768940 is an abundant number, since it is smaller than the sum of its proper divisors (5630724).

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

2768940 is a wasteful number, since it uses less digits than its factorization.

2768940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15398 (or 15393 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2768940 is about 1664.0132211013. The cubic root of 2768940 is about 140.4228710884.

It can be divided in two parts, 276 and 8940, that added together give a square (9216 = 96²).

The spelling of 2768940 in words is "two million, seven hundred sixty-eight thousand, nine hundred forty".