2538064 has 40 divisors (see below), whose sum is σ = 5202792. Its totient is φ = 1198080.

The previous prime is 2538061. The next prime is 2538079. The reversal of 2538064 is 4608352.

2538064 = T₂₉ + T₃₀ + ... + T₂₄₇.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 2371600 = 408^2 + 1540^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538061) 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, 34732 + ... + 34804.

2^2538064 is an apocalyptic number.

It is an amenable number.

2538064 is an abundant number, since it is smaller than the sum of its proper divisors (2664728).

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

2538064 is a wasteful number, since it uses less digits than its factorization.

2538064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2538064 is about 1593.1302520510. The cubic root of 2538064 is about 136.4062248659.

The spelling of 2538064 in words is "two million, five hundred thirty-eight thousand, sixty-four".