2421950400 has 252 divisors, whose sum is σ = 8721242400. Its totient is φ = 637378560.

The previous prime is 2421950389. The next prime is 2421950471. The reversal of 2421950400 is 40591242.

2421950400 is a `hidden beast` number, since 242 + 19 + 5 + 0 + 400 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1136536 + ... + 1138664.

Almost surely, 2^2421950400 is an apocalyptic number.

2421950400 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 2421950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360621200).

2421950400 is an abundant number, since it is smaller than the sum of its proper divisors (6299292000).

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

2421950400 is a wasteful number, since it uses less digits than its factorization.

2421950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2421950400 is about 49213.3152713775. The cubic root of 2421950400 is about 1342.9352749383.

The spelling of 2421950400 in words is "two billion, four hundred twenty-one million, nine hundred fifty thousand, four hundred".