2801540 has 24 divisors (see below), whose sum is σ = 6724032. Its totient is φ = 960480.

The previous prime is 2801509. The next prime is 2801543. The reversal of 2801540 is 451082.

2801540 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

2801540 is a modest number, since divided by 1540 gives 280 as remainder.

2801540 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (2801543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9866 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (280168).

2^2801540 is an apocalyptic number.

2801540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2801540 is an abundant number, since it is smaller than the sum of its proper divisors (3922492).

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

2801540 is a wasteful number, since it uses less digits than its factorization.

2801540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20027 (or 20025 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2801540 is about 1673.7801528277. The cubic root of 2801540 is about 140.9718100007.

The spelling of 2801540 in words is "two million, eight hundred one thousand, five hundred forty".