2508960 has 48 divisors (see below), whose sum is σ = 7904736. Its totient is φ = 668928.

The previous prime is 2508953. The next prime is 2508971. The reversal of 2508960 is 698052.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (164682).

2^2508960 is an apocalyptic number.

2508960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2508960 is an abundant number, since it is smaller than the sum of its proper divisors (5395776).

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

2508960 is a wasteful number, since it uses less digits than its factorization.

2508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2508960 is about 1583.9696966798. The cubic root of 2508960 is about 135.8828287221.

The spelling of 2508960 in words is "two million, five hundred eight thousand, nine hundred sixty".