2421000400 has 240 divisors, whose sum is σ = 7214788224. Its totient is φ = 760227840.

The previous prime is 2421000383. The next prime is 2421000419. The reversal of 2421000400 is 40001242.

It is a super-2 number, since 2×2421000400² = 11722485873600320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8262654 + ... + 8262946.

Almost surely, 2^2421000400 is an apocalyptic number.

2421000400 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 2421000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607394112).

2421000400 is an abundant number, since it is smaller than the sum of its proper divisors (4793787824).

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

2421000400 is a wasteful number, since it uses less digits than its factorization.

2421000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2421000400 is about 49203.6624653084. The cubic root of 2421000400 is about 1342.7596650448.

Adding to 2421000400 its reverse (40001242), we get a palindrome (2461001642).

The spelling of 2421000400 in words is "two billion, four hundred twenty-one million, four hundred", and thus it is an aban number.