2468004000 has 384 divisors, whose sum is σ = 10083999744. Its totient is φ = 512640000.

The previous prime is 2468003999. The next prime is 2468004001. The reversal of 2468004000 is 4008642.

It is an interprime number because it is at equal distance from previous prime (2468003999) and next prime (2468004001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2468004001) 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 63 ways as a sum of consecutive naturals, for example, 922665 + ... + 925335.

It is an arithmetic number, because the mean of its divisors is an integer number (26260416).

Almost surely, 2^2468004000 is an apocalyptic number.

2468004000 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 2468004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041999872).

2468004000 is an abundant number, since it is smaller than the sum of its proper divisors (7615995744).

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

2468004000 is a wasteful number, since it uses less digits than its factorization.

2468004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2468004000 is about 49679.0096519647. The cubic root of 2468004000 is about 1351.3938963614.

The spelling of 2468004000 in words is "two billion, four hundred sixty-eight million, four thousand".