2567040 has 128 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 583680.

The previous prime is 2567029. The next prime is 2567041. The reversal of 2567040 is 407652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2567040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13345 + ... + 13535.

It is an arithmetic number, because the mean of its divisors is an integer number (73440).

2^2567040 is an apocalyptic number.

2567040 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 2567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160).

2567040 is an abundant number, since it is smaller than the sum of its proper divisors (6833280).

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

2567040 is a wasteful number, since it uses less digits than its factorization.

2567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2567040 is about 1602.1984895761. The cubic root of 2567040 is about 136.9233591971.

The spelling of 2567040 in words is "two million, five hundred sixty-seven thousand, forty".