2401812420 has 432 divisors, whose sum is σ = 8639543808. Its totient is φ = 496419840.

The previous prime is 2401812383. The next prime is 2401812433. The reversal of 2401812420 is 242181042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32901504 + ... + 32901576.

It is an arithmetic number, because the mean of its divisors is an integer number (19998944).

Almost surely, 2^2401812420 is an apocalyptic number.

2401812420 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 2401812420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319771904).

2401812420 is an abundant number, since it is smaller than the sum of its proper divisors (6237731388).

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

2401812420 is a wasteful number, since it uses less digits than its factorization.

2401812420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2401812420 is about 49008.2892988523. The cubic root of 2401812420 is about 1339.2028413808.

Adding to 2401812420 its reverse (242181042), we get a palindrome (2643993462).

The spelling of 2401812420 in words is "two billion, four hundred one million, eight hundred twelve thousand, four hundred twenty".