2493504000 has 800 divisors, whose sum is σ = 10272998736. Its totient is φ = 597196800.

The previous prime is 2493503933. The next prime is 2493504017. The reversal of 2493504000 is 4053942.

2493504000 = 490³ + 491³ + ... + 509³.

It can be written as a sum of positive squares in 8 ways, for example, as 110502144 + 2383001856 = 10512^2 + 48816^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67391982 + ... + 67392018.

Almost surely, 2^2493504000 is an apocalyptic number.

2493504000 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 2493504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136499368).

2493504000 is an abundant number, since it is smaller than the sum of its proper divisors (7779494736).

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

2493504000 is an equidigital number, since it uses as much as digits as its factorization.

2493504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2493504000 is about 49934.9977470711. The cubic root of 2493504000 is about 1356.0322648756.

Adding to 2493504000 its reverse (4053942), we get a palindrome (2497557942).

The spelling of 2493504000 in words is "two billion, four hundred ninety-three million, five hundred four thousand".