2538464 has 24 divisors (see below), whose sum is σ = 5216400. Its totient is φ = 1213696.

The previous prime is 2538451. The next prime is 2538467. The reversal of 2538464 is 4648352.

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

It is a d-powerful number, because it can be written as 2¹⁹ + 5⁹ + 3³ + 8⁵ + 4⁶ + 6⁵ + 4⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2538464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 989 + ... + 2460.

It is an arithmetic number, because the mean of its divisors is an integer number (217350).

2^2538464 is an apocalyptic number.

It is an amenable number.

2538464 is an abundant number, since it is smaller than the sum of its proper divisors (2677936).

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

2538464 is a wasteful number, since it uses less digits than its factorization.

2538464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3474 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 2538464 is about 1593.2557861185. The cubic root of 2538464 is about 136.4133903831.

The spelling of 2538464 in words is "two million, five hundred thirty-eight thousand, four hundred sixty-four".