2493456000 has 512 divisors, whose sum is σ = 9730506240. Its totient is φ = 552960000.

The previous prime is 2493455971. The next prime is 2493456083. The reversal of 2493456000 is 6543942.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13775910 + ... + 13776090.

It is an arithmetic number, because the mean of its divisors is an integer number (19004895).

Almost surely, 2^2493456000 is an apocalyptic number.

2493456000 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 2493456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865253120).

2493456000 is an abundant number, since it is smaller than the sum of its proper divisors (7237050240).

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

2493456000 is a wasteful number, since it uses less digits than its factorization.

2493456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2493456000 is about 49934.5171199242. The cubic root of 2493456000 is about 1356.0235636041.

Adding to 2493456000 its reverse (6543942), we get a palindrome (2499999942).

The spelling of 2493456000 in words is "two billion, four hundred ninety-three million, four hundred fifty-six thousand".