2601456 has 80 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 725760.

The previous prime is 2601451. The next prime is 2601463. The reversal of 2601456 is 6541062.

2601456 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601451) 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, 6675 + ... + 7053.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

2^2601456 is an apocalyptic number.

2601456 is a gapful number since it is divisible by the number (26) 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 2601456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2601456 is an abundant number, since it is smaller than the sum of its proper divisors (5314704).

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

2601456 is a wasteful number, since it uses less digits than its factorization.

2601456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2601456 is about 1612.9029729032. The cubic root of 2601456 is about 137.5325498697.

The spelling of 2601456 in words is "two million, six hundred one thousand, four hundred fifty-six".