2421456400 has 120 divisors (see below), whose sum is σ = 6396385248. Its totient is φ = 873600000.

The previous prime is 2421456391. The next prime is 2421456409. The reversal of 2421456400 is 46541242.

It is an interprime number because it is at equal distance from previous prime (2421456391) and next prime (2421456409).

It is not an unprimeable number, because it can be changed into a prime (2421456409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574300 + ... + 578500.

Almost surely, 2^2421456400 is an apocalyptic number.

2421456400 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 2421456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198192624).

2421456400 is an abundant number, since it is smaller than the sum of its proper divisors (3974928848).

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

2421456400 is a wasteful number, since it uses less digits than its factorization.

2421456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2421456400 is about 49208.2960485323. The cubic root of 2421456400 is about 1342.8439635258.

Adding to 2421456400 its reverse (46541242), we get a palindrome (2467997642).

The spelling of 2421456400 in words is "two billion, four hundred twenty-one million, four hundred fifty-six thousand, four hundred".