2468400 has 180 divisors, whose sum is σ = 9202536. Its totient is φ = 563200.

The previous prime is 2468399. The next prime is 2468413. The reversal of 2468400 is 48642.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145192 + ... + 145208.

2^2468400 is an apocalyptic number.

2468400 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 2468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601268).

2468400 is an abundant number, since it is smaller than the sum of its proper divisors (6734136).

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

2468400 is a wasteful number, since it uses less digits than its factorization.

2468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

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

The square root of 2468400 is about 1571.1142542794. The cubic root of 2468400 is about 135.1466171145.

It can be divided in two parts, 246 and 8400, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 2468400 in words is "two million, four hundred sixty-eight thousand, four hundred".