2496873600 has 864 divisors, whose sum is σ = 10531357200. Its totient is φ = 582266880.

The previous prime is 2496873571. The next prime is 2496873601. The reversal of 2496873600 is 63786942.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2496873601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 131414391 + ... + 131414409.

Almost surely, 2^2496873600 is an apocalyptic number.

2496873600 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 2496873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265678600).

2496873600 is an abundant number, since it is smaller than the sum of its proper divisors (8034483600).

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

2496873600 is a wasteful number, since it uses less digits than its factorization.

2496873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2496873600 is about 49968.7262195065. The cubic root of 2496873600 is about 1356.6428152800.

It can be divided in two parts, 2496 and 873600, that added together give a square (876096 = 936²).

The spelling of 2496873600 in words is "two billion, four hundred ninety-six million, eight hundred seventy-three thousand, six hundred".