2788140 has 48 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 719040.

The previous prime is 2788133. The next prime is 2788199. The reversal of 2788140 is 418872.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2788098 and 2788107.

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, 1111 + ... + 2609.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

2^2788140 is an apocalyptic number.

2788140 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 2788140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

2788140 is an abundant number, since it is smaller than the sum of its proper divisors (5275860).

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

2788140 is a wasteful number, since it uses less digits than its factorization.

2788140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2788140 is about 1669.7724395857. The cubic root of 2788140 is about 140.7466907132.

The spelling of 2788140 in words is "two million, seven hundred eighty-eight thousand, one hundred forty".