2468000 has 48 divisors (see below), whose sum is σ = 6073704. Its totient is φ = 985600.

The previous prime is 2467981. The next prime is 2468021. The reversal of 2468000 is 8642.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 2298256 = 412^2 + 1516^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3692 + ... + 4308.

2^2468000 is an apocalyptic number.

2468000 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 2468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036852).

2468000 is an abundant number, since it is smaller than the sum of its proper divisors (3605704).

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

2468000 is an equidigital number, since it uses as much as digits as its factorization.

2468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2468000 is about 1570.9869509324. The cubic root of 2468000 is about 135.1393166274.

The spelling of 2468000 in words is "two million, four hundred sixty-eight thousand".