2567840 has 48 divisors (see below), whose sum is σ = 6622560. Its totient is φ = 933120.

The previous prime is 2567827. The next prime is 2567849. The reversal of 2567840 is 487652.

2567840 = 6² + 7² + ... + 197².

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2567797 and 2567806.

It is not an unprimeable number, because it can be changed into a prime (2567849) 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, 1031 + ... + 2489.

It is an arithmetic number, because the mean of its divisors is an integer number (137970).

2^2567840 is an apocalyptic number.

2567840 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 2567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311280).

2567840 is an abundant number, since it is smaller than the sum of its proper divisors (4054720).

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

2567840 is a wasteful number, since it uses less digits than its factorization.

2567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2567840 is about 1602.4481270856. The cubic root of 2567840 is about 136.9375814545.

The spelling of 2567840 in words is "two million, five hundred sixty-seven thousand, eight hundred forty".