2758140 has 144 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 570240.

The previous prime is 2758121. The next prime is 2758141. The reversal of 2758140 is 418572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2758141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13761 + ... + 13959.

It is an arithmetic number, because the mean of its divisors is an integer number (72800).

2^2758140 is an apocalyptic number.

2758140 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 2758140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

2758140 is an abundant number, since it is smaller than the sum of its proper divisors (7725060).

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

2758140 is a wasteful number, since it uses less digits than its factorization.

2758140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2758140 is about 1660.7648840218. The cubic root of 2758140 is about 140.2400643061.

The spelling of 2758140 in words is "two million, seven hundred fifty-eight thousand, one hundred forty".