2578464 has 72 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 736128.

The previous prime is 2578463. The next prime is 2578469. The reversal of 2578464 is 4648752.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377 + ... + 2655.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

2^2578464 is an apocalyptic number.

2578464 is a gapful number since it is divisible by the number (24) 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 2578464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2578464 is an abundant number, since it is smaller than the sum of its proper divisors (5808096).

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

2578464 is a wasteful number, since it uses less digits than its factorization.

2578464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1291 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2578464 is about 1605.7596333200. The cubic root of 2578464 is about 137.1261735657.

The spelling of 2578464 in words is "two million, five hundred seventy-eight thousand, four hundred sixty-four".