2496640 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 965632.

The previous prime is 2496629. The next prime is 2496643. The reversal of 2496640 is 466942.

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

It is a super-2 number, since 2×2496640² = 12466422579200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2496643) 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, 30039 + ... + 30121.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

2^2496640 is an apocalyptic number.

2496640 is a gapful number since it is divisible by the number (20) 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 2496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2496640 is an abundant number, since it is smaller than the sum of its proper divisors (3672320).

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

2496640 is an equidigital number, since it uses as much as digits as its factorization.

2496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2496640 is about 1580.0759475418. The cubic root of 2496640 is about 135.6600506151.

It can be divided in two parts, 2496 and 640, that added together give a square (3136 = 56²).

The spelling of 2496640 in words is "two million, four hundred ninety-six thousand, six hundred forty".