2506368 has 64 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 814080.

The previous prime is 2506367. The next prime is 2506373. The reversal of 2506368 is 8636052.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2506363) 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, 23371 + ... + 23477.

2^2506368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2506368 is an abundant number, since it is smaller than the sum of its proper divisors (4323552).

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

2506368 is a wasteful number, since it uses less digits than its factorization.

2506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2506368 is about 1583.1512877802. The cubic root of 2506368 is about 135.8360192007.

The spelling of 2506368 in words is "two million, five hundred six thousand, three hundred sixty-eight".