2496100 has 36 divisors (see below), whose sum is σ = 5490100. Its totient is φ = 984960.

The previous prime is 2496097. The next prime is 2496103. The reversal of 2496100 is 16942.

It is an interprime number because it is at equal distance from previous prime (2496097) and next prime (2496103).

It can be written as a sum of positive squares in 6 ways, for example, as 118336 + 2377764 = 344^2 + 1542^2 .

It is not an unprimeable number, because it can be changed into a prime (2496103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10786 + ... + 11014.

2^2496100 is an apocalyptic number.

2496100 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 2496100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745050).

2496100 is an abundant number, since it is smaller than the sum of its proper divisors (2994000).

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

2496100 is a wasteful number, since it uses less digits than its factorization.

2496100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2496100 is about 1579.9050604388. The cubic root of 2496100 is about 135.6502692409.

The spelling of 2496100 in words is "two million, four hundred ninety-six thousand, one hundred".