2468659200 has 540 divisors, whose sum is σ = 9727080552. Its totient is φ = 550502400.

The previous prime is 2468659169. The next prime is 2468659201. The reversal of 2468659200 is 29568642.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2468659201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60211180 + ... + 60211220.

Almost surely, 2^2468659200 is an apocalyptic number.

2468659200 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 2468659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863540276).

2468659200 is an abundant number, since it is smaller than the sum of its proper divisors (7258421352).

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

2468659200 is an equidigital number, since it uses as much as digits as its factorization.

2468659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2468659200 is about 49685.6035487142. The cubic root of 2468659200 is about 1351.5134740901.

The spelling of 2468659200 in words is "two billion, four hundred sixty-eight million, six hundred fifty-nine thousand, two hundred".