2492064000 has 432 divisors, whose sum is σ = 9513307440. Its totient is φ = 624230400.

The previous prime is 2492063993. The next prime is 2492064019. The reversal of 2492064000 is 4602942.

It can be written as a sum of positive squares in 8 ways, for example, as 201867264 + 2290196736 = 14208^2 + 47856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4895746 + ... + 4896254.

It is an arithmetic number, because the mean of its divisors is an integer number (22021545).

Almost surely, 2^2492064000 is an apocalyptic number.

2492064000 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 2492064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756653720).

2492064000 is an abundant number, since it is smaller than the sum of its proper divisors (7021243440).

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

2492064000 is a wasteful number, since it uses less digits than its factorization.

2492064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2492064000 is about 49920.5769197432. The cubic root of 2492064000 is about 1355.7711781379.

Adding to 2492064000 its reverse (4602942), we get a palindrome (2496666942).

The spelling of 2492064000 in words is "two billion, four hundred ninety-two million, sixty-four thousand".