2508384 has 96 divisors (see below), whose sum is σ = 7348320. Its totient is φ = 745472.

The previous prime is 2508383. The next prime is 2508391. The reversal of 2508384 is 4838052.

2508384 = T₃₆₇ + T₃₆₈ + ... + T₄₀₀.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508383) 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, 47302 + ... + 47354.

It is an arithmetic number, because the mean of its divisors is an integer number (76545).

2^2508384 is an apocalyptic number.

2508384 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 2508384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160).

2508384 is an abundant number, since it is smaller than the sum of its proper divisors (4839936).

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

2508384 is a wasteful number, since it uses less digits than its factorization.

2508384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2508384 is about 1583.7878645829. The cubic root of 2508384 is about 135.8724293933.

The spelling of 2508384 in words is "two million, five hundred eight thousand, three hundred eighty-four".