2768740 has 48 divisors (see below), whose sum is σ = 6547968. Its totient is φ = 975744.

The previous prime is 2768683. The next prime is 2768767. The reversal of 2768740 is 478672.

It is a junction number, because it is equal to n+sod(n) for n = 2768696 and 2768705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5749 + ... + 6211.

It is an arithmetic number, because the mean of its divisors is an integer number (136416).

2^2768740 is an apocalyptic number.

2768740 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 2768740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273984).

2768740 is an abundant number, since it is smaller than the sum of its proper divisors (3779228).

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

2768740 is a wasteful number, since it uses less digits than its factorization.

2768740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2768740 is about 1663.9531243397. The cubic root of 2768740 is about 140.4194901014.

The spelling of 2768740 in words is "two million, seven hundred sixty-eight thousand, seven hundred forty".