2642400 has 108 divisors (see below), whose sum is σ = 9343152. Its totient is φ = 702720.

The previous prime is 2642389. The next prime is 2642449. The reversal of 2642400 is 42462.

2642400 is a `hidden beast` number, since 264 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7017 + ... + 7383.

2^2642400 is an apocalyptic number.

2642400 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 2642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671576).

2642400 is an abundant number, since it is smaller than the sum of its proper divisors (6700752).

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

2642400 is a wasteful number, since it uses less digits than its factorization.

2642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2642400 is about 1625.5460620973. The cubic root of 2642400 is about 138.2503332682.

Adding to 2642400 its reverse (42462), we get a palindrome (2684862).

The spelling of 2642400 in words is "two million, six hundred forty-two thousand, four hundred".